251151751872 has 336 divisors, whose sum is σ = 856441377792. Its totient is φ = 71484456960.

The previous prime is 251151751853. The next prime is 251151751897. The reversal of 251151751872 is 278157151152.

251151751872 is a `hidden beast` number, since 2 + 5 + 1 + 1 + 517 + 51 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 29497888 + ... + 29506400.

It is an arithmetic number, because the mean of its divisors is an integer number (2548932672).

Almost surely, 2^251151751872 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 251151751872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428220688896).

251151751872 is an abundant number, since it is smaller than the sum of its proper divisors (605289625920).

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

251151751872 is an equidigital number, since it uses as much as digits as its factorization.

251151751872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8796 counting only the distinct ones).

The product of its digits is 196000, while the sum is 45.

The spelling of 251151751872 in words is "two hundred fifty-one billion, one hundred fifty-one million, seven hundred fifty-one thousand, eight hundred seventy-two".