255131692704 has 480 divisors, whose sum is σ = 900460471680. Its totient is φ = 69321111552.

The previous prime is 255131692691. The next prime is 255131692723. The reversal of 255131692704 is 407296131552.

255131692704 is a `hidden beast` number, since 2 + 5 + 513 + 1 + 69 + 2 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 255131692704.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35250174 + ... + 35257410.

It is an arithmetic number, because the mean of its divisors is an integer number (1875959316).

Almost surely, 2^255131692704 is an apocalyptic number.

255131692704 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 255131692704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450230235840).

255131692704 is an abundant number, since it is smaller than the sum of its proper divisors (645328778976).

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

255131692704 is a wasteful number, since it uses less digits than its factorization.

255131692704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 255131692704 in words is "two hundred fifty-five billion, one hundred thirty-one million, six hundred ninety-two thousand, seven hundred four".