251879704160 has 192 divisors, whose sum is σ = 704037640320. Its totient is φ = 83320258560.

The previous prime is 251879704103. The next prime is 251879704169. The reversal of 251879704160 is 61407978152.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 251879704099 and 251879704108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251879704169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77333252 + ... + 77336508.

It is an arithmetic number, because the mean of its divisors is an integer number (3666862710).

Almost surely, 2^251879704160 is an apocalyptic number.

251879704160 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 251879704160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352018820160).

251879704160 is an abundant number, since it is smaller than the sum of its proper divisors (452157936160).

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

251879704160 is a wasteful number, since it uses less digits than its factorization.

251879704160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The spelling of 251879704160 in words is "two hundred fifty-one billion, eight hundred seventy-nine million, seven hundred four thousand, one hundred sixty".