251966579040 has 192 divisors, whose sum is σ = 962054392320. Its totient is φ = 61082795520.

The previous prime is 251966579009. The next prime is 251966579057. The reversal of 251966579040 is 40975669152.

251966579040 is a `hidden beast` number, since 2 + 5 + 1 + 9 + 66 + 579 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2603644 + ... + 2698683.

It is an arithmetic number, because the mean of its divisors is an integer number (5010699960).

Almost surely, 2^251966579040 is an apocalyptic number.

251966579040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251966579040 is an abundant number, since it is smaller than the sum of its proper divisors (710087813280).

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

251966579040 is a wasteful number, since it uses less digits than its factorization.

251966579040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302362 (or 5302348 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 251966579040 in words is "two hundred fifty-one billion, nine hundred sixty-six million, five hundred seventy-nine thousand, forty".