251983872000 has 1800 divisors, whose sum is σ = 1128162043008. Its totient is φ = 55738368000.

The previous prime is 251983871947. The next prime is 251983872011. The reversal of 251983872000 is 278389152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×251983872000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8128511985 + ... + 8128512015.

Almost surely, 2^251983872000 is an apocalyptic number.

251983872000 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 251983872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564081021504).

251983872000 is an abundant number, since it is smaller than the sum of its proper divisors (876178171008).

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

251983872000 is an frugal number, since it uses more digits than its factorization.

251983872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 251983872000 in words is "two hundred fifty-one billion, nine hundred eighty-three million, eight hundred seventy-two thousand".