251216611130160 has 240 divisors, whose sum is σ = 937875349302528. Its totient is φ = 59843162880000.

The previous prime is 251216611130141. The next prime is 251216611130179. The reversal of 251216611130160 is 61031116612152.

251216611130160 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 1 + 6 + 611 + 1 + 30 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (251216611130141) and next prime (251216611130179).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432603091 + ... + 433183410.

Almost surely, 2^{251216611130160} is an apocalyptic number.

251216611130160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251216611130160 is an abundant number, since it is smaller than the sum of its proper divisors (686658738172368).

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

251216611130160 is a wasteful number, since it uses less digits than its factorization.

251216611130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865786564 (or 865786555 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 251216611130160 in words is "two hundred fifty-one trillion, two hundred sixteen billion, six hundred eleven million, one hundred thirty thousand, one hundred sixty".