251879040000 has 660 divisors, whose sum is σ = 1038827018944. Its totient is φ = 57563136000.

The previous prime is 251879039987. The next prime is 251879040011. The reversal of 251879040000 is 40978152.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40316877 + ... + 40323123.

Almost surely, 2^251879040000 is an apocalyptic number.

251879040000 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 251879040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519413509472).

251879040000 is an abundant number, since it is smaller than the sum of its proper divisors (786947978944).

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

251879040000 is an equidigital number, since it uses as much as digits as its factorization.

251879040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 251879040000 in words is "two hundred fifty-one billion, eight hundred seventy-nine million, forty thousand".