251680853196864 has 672 divisors, whose sum is σ = 931653993553920. Its totient is φ = 63136640692224.

The previous prime is 251680853196827. The next prime is 251680853196937. The reversal of 251680853196864 is 468691358086152.

251680853196864 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 8 + 0 + 8 + 531 + 9 + 6 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 251680853196792 and 251680853196801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215213529 + ... + 216379815.

It is an arithmetic number, because the mean of its divisors is an integer number (1386389871360).

Almost surely, 2^{251680853196864} is an apocalyptic number.

251680853196864 is a gapful number since it is divisible by the number (24) 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 251680853196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465826996776960).

251680853196864 is an abundant number, since it is smaller than the sum of its proper divisors (679973140357056).

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

251680853196864 is a wasteful number, since it uses less digits than its factorization.

251680853196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166527 (or 1166514 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 251680853196864 in words is "two hundred fifty-one trillion, six hundred eighty billion, eight hundred fifty-three million, one hundred ninety-six thousand, eight hundred sixty-four".