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5378866560 = 273451943127
BaseRepresentation
bin1010000001001101…
…01111110110000000
3111212212021201210000
411000212233312000
542003442212220
62245423440000
7250202416464
oct50046576600
914785251700
105378866560
112310259071
121061456000
136794b0ba2
143905244a4
15217343390
hex1409afd80

5378866560 has 640 divisors, whose sum is σ = 20853043200. Its totient is φ = 1316818944.

The previous prime is 5378866529. The next prime is 5378866561. The reversal of 5378866560 is 656688735.

5378866560 is a `hidden beast` number, since 5 + 3 + 78 + 8 + 6 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5378866497 and 5378866506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5378866561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42353217 + ... + 42353343.

It is an arithmetic number, because the mean of its divisors is an integer number (32582880).

Almost surely, 25378866560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5378866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426521600).

5378866560 is an abundant number, since it is smaller than the sum of its proper divisors (15474176640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5378866560 is a wasteful number, since it uses less digits than its factorization.

5378866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 5378866560 is about 73340.7564727826. The cubic root of 5378866560 is about 1752.1189635865.

It can be divided in two parts, 537886 and 6560, that added together give a triangular number (544446 = T1043).

The spelling of 5378866560 in words is "five billion, three hundred seventy-eight million, eight hundred sixty-six thousand, five hundred sixty".