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5725399680 = 2733571113331
BaseRepresentation
bin1010101010100001…
…01010101010000000
3112210000100102212000
411111100222222000
543211200242210
62344043104000
7261611044230
oct52520525200
915700312760
105725399680
112478925580
121139512000
13703222080
143c456bcc0
15237994ac0
hex15542aa80

5725399680 has 1024 divisors, whose sum is σ = 27307929600. Its totient is φ = 1094860800.

The previous prime is 5725399663. The next prime is 5725399711. The reversal of 5725399680 is 869935275.

5725399680 is a `hidden beast` number, since 572 + 5 + 3 + 9 + 9 + 68 + 0 = 666.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17297115 + ... + 17297445.

It is an arithmetic number, because the mean of its divisors is an integer number (26667900).

Almost surely, 25725399680 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 5725399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653964800).

5725399680 is an abundant number, since it is smaller than the sum of its proper divisors (21582529920).

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

5725399680 is a wasteful number, since it uses less digits than its factorization.

5725399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 5725399680 is about 75666.3708657948. The cubic root of 5725399680 is about 1788.9653811122.

The spelling of 5725399680 in words is "five billion, seven hundred twenty-five million, three hundred ninety-nine thousand, six hundred eighty".