255617925120 has 608 divisors, whose sum is σ = 942206653440. Its totient is φ = 65682800640.

The previous prime is 255617925109. The next prime is 255617925139. The reversal of 255617925120 is 21529716552.

255617925120 is a `hidden beast` number, since 2 + 5 + 5 + 61 + 79 + 2 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097072524 + ... + 1097072756.

Almost surely, 2^255617925120 is an apocalyptic number.

255617925120 is a gapful number since it is divisible by the number (20) 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 255617925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471103326720).

255617925120 is an abundant number, since it is smaller than the sum of its proper divisors (686588728320).

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

255617925120 is an frugal number, since it uses more digits than its factorization.

255617925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 255617925120 in words is "two hundred fifty-five billion, six hundred seventeen million, nine hundred twenty-five thousand, one hundred twenty".