251324478972 has 192 divisors, whose sum is σ = 748215336960. Its totient is φ = 71465623488.

The previous prime is 251324478971. The next prime is 251324478997. The reversal of 251324478972 is 279874423152.

251324478972 is a `hidden beast` number, since 2 + 51 + 3 + 2 + 447 + 89 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251324478971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255670393 + ... + 255671375.

It is an arithmetic number, because the mean of its divisors is an integer number (3896954880).

Almost surely, 2^251324478972 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 251324478972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374107668480).

251324478972 is an abundant number, since it is smaller than the sum of its proper divisors (496890857988).

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

251324478972 is a wasteful number, since it uses less digits than its factorization.

251324478972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2261 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 251324478972 in words is "two hundred fifty-one billion, three hundred twenty-four million, four hundred seventy-eight thousand, nine hundred seventy-two".