251609755078872 has 32 divisors (see below), whose sum is σ = 698915986330800. Its totient is φ = 83869918359552.

The previous prime is 251609755078849. The next prime is 251609755078909. The reversal of 251609755078872 is 278870557906152.

251609755078872 is a `hidden beast` number, since 2 + 5 + 1 + 60 + 9 + 7 + 550 + 7 + 8 + 8 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 251609755078872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582429988393 + ... + 582429988824.

Almost surely, 2^{251609755078872} is an apocalyptic number.

It is an amenable number.

251609755078872 is an abundant number, since it is smaller than the sum of its proper divisors (447306231251928).

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

251609755078872 is a wasteful number, since it uses less digits than its factorization.

251609755078872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164859977232 (or 1164859977222 counting only the distinct ones).

The product of its (nonzero) digits is 592704000, while the sum is 72.

The spelling of 251609755078872 in words is "two hundred fifty-one trillion, six hundred nine billion, seven hundred fifty-five million, seventy-eight thousand, eight hundred seventy-two".