255972415680 has 280 divisors, whose sum is σ = 925977309840. Its totient is φ = 67101972480.

The previous prime is 255972415639. The next prime is 255972415681. The reversal of 255972415680 is 86514279552.

255972415680 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 72 + 4 + 1 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (255972415681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1445590 + ... + 1612970.

Almost surely, 2^255972415680 is an apocalyptic number.

255972415680 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 255972415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462988654920).

255972415680 is an abundant number, since it is smaller than the sum of its proper divisors (670004894160).

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

255972415680 is a wasteful number, since it uses less digits than its factorization.

255972415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167469 (or 167450 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 255972415680 in words is "two hundred fifty-five billion, nine hundred seventy-two million, four hundred fifteen thousand, six hundred eighty".