251961270272 has 224 divisors, whose sum is σ = 555291955200. Its totient is φ = 113865523200.

The previous prime is 251961270263. The next prime is 251961270299. The reversal of 251961270272 is 272072169152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381181622 + ... + 381182282.

Almost surely, 2^251961270272 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 251961270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277645977600).

251961270272 is an abundant number, since it is smaller than the sum of its proper divisors (303330684928).

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

251961270272 is an equidigital number, since it uses as much as digits as its factorization.

251961270272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 251961270272 in words is "two hundred fifty-one billion, nine hundred sixty-one million, two hundred seventy thousand, two hundred seventy-two".