253984176864 has 432 divisors, whose sum is σ = 840742156800. Its totient is φ = 72472942080.

The previous prime is 253984176847. The next prime is 253984176907. The reversal of 253984176864 is 468671489352.

253984176864 is a `hidden beast` number, since 2 + 53 + 98 + 417 + 6 + 86 + 4 = 666.

253984176864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 118516977 + ... + 118519119.

It is an arithmetic number, because the mean of its divisors is an integer number (1946162400).

Almost surely, 2^253984176864 is an apocalyptic number.

253984176864 is a gapful number since it is divisible by the number (24) 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 253984176864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420371078400).

253984176864 is an abundant number, since it is smaller than the sum of its proper divisors (586757979936).

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

253984176864 is a wasteful number, since it uses less digits than its factorization.

253984176864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2357 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 253984176864 in words is "two hundred fifty-three billion, nine hundred eighty-four million, one hundred seventy-six thousand, eight hundred sixty-four".