252120968064 has 768 divisors, whose sum is σ = 897202575360. Its totient is φ = 68976230400.

The previous prime is 252120968051. The next prime is 252120968081. The reversal of 252120968064 is 460869021252.

252120968064 is a `hidden beast` number, since 2 + 521 + 2 + 0 + 9 + 68 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 544537497 + ... + 544537959.

It is an arithmetic number, because the mean of its divisors is an integer number (1168232520).

Almost surely, 2^252120968064 is an apocalyptic number.

252120968064 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 252120968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448601287680).

252120968064 is an abundant number, since it is smaller than the sum of its proper divisors (645081607296).

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

252120968064 is an equidigital number, since it uses as much as digits as its factorization.

252120968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 252120968064 in words is "two hundred fifty-two billion, one hundred twenty million, nine hundred sixty-eight thousand, sixty-four".