253916087216 has 80 divisors (see below), whose sum is σ = 543525033600. Its totient is φ = 113949580800.

The previous prime is 253916087119. The next prime is 253916087231. The reversal of 253916087216 is 612780619352.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10812095 + ... + 10835553.

It is an arithmetic number, because the mean of its divisors is an integer number (6794062920).

Almost surely, 2^253916087216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253916087216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271762516800).

253916087216 is an abundant number, since it is smaller than the sum of its proper divisors (289608946384).

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

253916087216 is a wasteful number, since it uses less digits than its factorization.

253916087216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24258 (or 24252 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 253916087216 in words is "two hundred fifty-three billion, nine hundred sixteen million, eighty-seven thousand, two hundred sixteen".