255879765504 has 960 divisors, whose sum is σ = 912792291840. Its totient is φ = 69938380800.

The previous prime is 255879765499. The next prime is 255879765523. The reversal of 255879765504 is 405567978552.

255879765504 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 7 + 9 + 76 + 550 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2484269517 + ... + 2484269619.

It is an arithmetic number, because the mean of its divisors is an integer number (950825304).

Almost surely, 2^255879765504 is an apocalyptic number.

255879765504 is a gapful number since it is divisible by the number (24) 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 255879765504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456396145920).

255879765504 is an abundant number, since it is smaller than the sum of its proper divisors (656912526336).

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

255879765504 is a wasteful number, since it uses less digits than its factorization.

255879765504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 255879765504 in words is "two hundred fifty-five billion, eight hundred seventy-nine million, seven hundred sixty-five thousand, five hundred four".