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55025870556384 = 253471319314361151
BaseRepresentation
bin11001000001011101101010…
…11101111100110011100000
321012211102101112021211020000
430200232311131330303200
524203020440330301014
6313010311433420000
714406326240323020
oct1440566535746340
9235742345254200
1055025870556384
1116595382453562
12620847086a600
132491bc04a8470
14d833a2bcba80
156565386b6509
hex320bb577cce0

55025870556384 has 3840 divisors, whose sum is σ = 226574938275840. Its totient is φ = 12697896960000.

The previous prime is 55025870556373. The next prime is 55025870556389. The reversal of 55025870556384 is 48365507852055.

It is a happy number.

55025870556384 is a `hidden beast` number, since 5 + 5 + 0 + 2 + 5 + 8 + 70 + 556 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55025870556389) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 364409738709 + ... + 364409738859.

It is an arithmetic number, because the mean of its divisors is an integer number (59003890176).

Almost surely, 255025870556384 is an apocalyptic number.

55025870556384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55025870556384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113287469137920).

55025870556384 is an abundant number, since it is smaller than the sum of its proper divisors (171549067719456).

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

55025870556384 is a wasteful number, since it uses less digits than its factorization.

55025870556384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 201600000, while the sum is 63.

The spelling of 55025870556384 in words is "fifty-five trillion, twenty-five billion, eight hundred seventy million, five hundred fifty-six thousand, three hundred eighty-four".