251125360718080 has 1152 divisors, whose sum is σ = 702088844083200. Its totient is φ = 85428338688000.

The previous prime is 251125360717993. The next prime is 251125360718143. The reversal of 251125360718080 is 80817063521152.

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 127 ways as a sum of consecutive naturals, for example, 542387387929 + ... + 542387388391.

It is an arithmetic number, because the mean of its divisors is an integer number (609452121600).

Almost surely, 2^{251125360718080} is an apocalyptic number.

251125360718080 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 251125360718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351044422041600).

251125360718080 is an abundant number, since it is smaller than the sum of its proper divisors (450963483365120).

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

251125360718080 is a wasteful number, since it uses less digits than its factorization.

251125360718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 251125360718080 in words is "two hundred fifty-one trillion, one hundred twenty-five billion, three hundred sixty million, seven hundred eighteen thousand, eighty".