251630974320 has 160 divisors (see below), whose sum is σ = 851156951040. Its totient is φ = 60988062720.

The previous prime is 251630974319. The next prime is 251630974337. The reversal of 251630974320 is 23479036152.

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 31 ways as a sum of consecutive naturals, for example, 17704657 + ... + 17718863.

It is an arithmetic number, because the mean of its divisors is an integer number (5319730944).

Almost surely, 2^251630974320 is an apocalyptic number.

251630974320 is a gapful number since it is divisible by the number (20) 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 251630974320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425578475520).

251630974320 is an abundant number, since it is smaller than the sum of its proper divisors (599525976720).

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

251630974320 is a wasteful number, since it uses less digits than its factorization.

251630974320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20943 (or 20937 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 251630974320 in words is "two hundred fifty-one billion, six hundred thirty million, nine hundred seventy-four thousand, three hundred twenty".