251872975872 has 352 divisors, whose sum is σ = 863064983040. Its totient is φ = 71959228416.

The previous prime is 251872975819. The next prime is 251872975877. The reversal of 251872975872 is 278579278152.

251872975872 is a `hidden beast` number, since 25 + 1 + 8 + 7 + 29 + 7 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251872975877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15668383 + ... + 15684449.

Almost surely, 2^251872975872 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 251872975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431532491520).

251872975872 is an abundant number, since it is smaller than the sum of its proper divisors (611192007168).

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

251872975872 is an frugal number, since it uses more digits than its factorization.

251872975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16115 (or 16079 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 63.

The spelling of 251872975872 in words is "two hundred fifty-one billion, eight hundred seventy-two million, nine hundred seventy-five thousand, eight hundred seventy-two".