251966632680 has 384 divisors, whose sum is σ = 990170438400. Its totient is φ = 54282203136.

The previous prime is 251966632663. The next prime is 251966632691. The reversal of 251966632680 is 86236669152.

251966632680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9419004 + ... + 9445716.

It is an arithmetic number, because the mean of its divisors is an integer number (2578568850).

Almost surely, 2^251966632680 is an apocalyptic number.

251966632680 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 251966632680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495085219200).

251966632680 is an abundant number, since it is smaller than the sum of its proper divisors (738203805720).

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

251966632680 is a wasteful number, since it uses less digits than its factorization.

251966632680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26953 (or 26946 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 251966632680 in words is "two hundred fifty-one billion, nine hundred sixty-six million, six hundred thirty-two thousand, six hundred eighty".