255707024800 has 72 divisors (see below), whose sum is σ = 624468554892. Its totient is φ = 102246144000.

The previous prime is 255707024791. The next prime is 255707024803. The reversal of 255707024800 is 8420707552.

It is a happy number.

255707024800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 39790674576 + 215916350224 = 199476^2 + 464668^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (255707024803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2232940 + ... + 2344660.

Almost surely, 2^255707024800 is an apocalyptic number.

255707024800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255707024800 is an abundant number, since it is smaller than the sum of its proper divisors (368761530092).

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

255707024800 is a wasteful number, since it uses less digits than its factorization.

255707024800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114602 (or 114589 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The spelling of 255707024800 in words is "two hundred fifty-five billion, seven hundred seven million, twenty-four thousand, eight hundred".