255538615957632 has 768 divisors, whose sum is σ = 895585315322880. Its totient is φ = 70996651683840.

The previous prime is 255538615957531. The next prime is 255538615957697. The reversal of 255538615957632 is 236759516835552.

255538615957632 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 3 + 8 + 6 + 15 + 9 + 576 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 15556004203 + ... + 15556020629.

It is an arithmetic number, because the mean of its divisors is an integer number (1166126712660).

Almost surely, 2^{255538615957632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255538615957632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447792657661440).

255538615957632 is an abundant number, since it is smaller than the sum of its proper divisors (640046699365248).

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

255538615957632 is a wasteful number, since it uses less digits than its factorization.

255538615957632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18431 (or 18407 counting only the distinct ones).

The product of its digits is 2041200000, while the sum is 72.

The spelling of 255538615957632 in words is "two hundred fifty-five trillion, five hundred thirty-eight billion, six hundred fifteen million, nine hundred fifty-seven thousand, six hundred thirty-two".