251642571264 has 1280 divisors, whose sum is σ = 970137907200. Its totient is φ = 62681776128.

The previous prime is 251642571259. The next prime is 251642571317. The reversal of 251642571264 is 462175246152.

251642571264 is a `hidden beast` number, since 2 + 5 + 16 + 4 + 2 + 571 + 2 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2594253264 + ... + 2594253360.

It is an arithmetic number, because the mean of its divisors is an integer number (757920240).

Almost surely, 2^251642571264 is an apocalyptic number.

251642571264 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 251642571264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485068953600).

251642571264 is an abundant number, since it is smaller than the sum of its proper divisors (718495335936).

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

251642571264 is a wasteful number, since it uses less digits than its factorization.

251642571264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 251642571264 in words is "two hundred fifty-one billion, six hundred forty-two million, five hundred seventy-one thousand, two hundred sixty-four".