252835033968 has 240 divisors, whose sum is σ = 790271071200. Its totient is φ = 74815488000.

The previous prime is 252835033951. The next prime is 252835033987. The reversal of 252835033968 is 869330538252.

252835033968 is a `hidden beast` number, since 2 + 52 + 83 + 503 + 3 + 9 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11668008 + ... + 11689656.

It is an arithmetic number, because the mean of its divisors is an integer number (3292796130).

Almost surely, 2^252835033968 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 252835033968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395135535600).

252835033968 is an abundant number, since it is smaller than the sum of its proper divisors (537436037232).

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

252835033968 is a wasteful number, since it uses less digits than its factorization.

252835033968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21848 (or 21839 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 252835033968 in words is "two hundred fifty-two billion, eight hundred thirty-five million, thirty-three thousand, nine hundred sixty-eight".