252934907904 has 1080 divisors, whose sum is σ = 934793930070. Its totient is φ = 67889332224.

The previous prime is 252934907903. The next prime is 252934907957. The reversal of 252934907904 is 409709439252.

252934907904 is a `hidden beast` number, since 2 + 529 + 3 + 49 + 0 + 79 + 0 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 247956194304 + 4978713600 = 497952^2 + 70560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (252934907903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6836078574 + ... + 6836078610.

Almost surely, 2^252934907904 is an apocalyptic number.

252934907904 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 252934907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467396965035).

252934907904 is an abundant number, since it is smaller than the sum of its proper divisors (681859022166).

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

252934907904 is an equidigital number, since it uses as much as digits as its factorization.

252934907904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 252934907904 in words is "two hundred fifty-two billion, nine hundred thirty-four million, nine hundred seven thousand, nine hundred four".