251163545306420 has 96 divisors (see below), whose sum is σ = 529928504050176. Its totient is φ = 99993261312000.

The previous prime is 251163545306369. The next prime is 251163545306423. The reversal of 251163545306420 is 24603545361152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251163545306423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20418134270 + ... + 20418146570.

It is an arithmetic number, because the mean of its divisors is an integer number (5520088583856).

Almost surely, 2^{251163545306420} is an apocalyptic number.

251163545306420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251163545306420 is an abundant number, since it is smaller than the sum of its proper divisors (278764958743756).

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

251163545306420 is a wasteful number, since it uses less digits than its factorization.

251163545306420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17961 (or 17959 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 47.

The spelling of 251163545306420 in words is "two hundred fifty-one trillion, one hundred sixty-three billion, five hundred forty-five million, three hundred six thousand, four hundred twenty".