252160177632 has 192 divisors, whose sum is σ = 773857857024. Its totient is φ = 71114250240.

The previous prime is 252160177603. The next prime is 252160177679. The reversal of 252160177632 is 236771061252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758358 + ... + 1038954.

It is an arithmetic number, because the mean of its divisors is an integer number (4030509672).

Almost surely, 2^252160177632 is an apocalyptic number.

252160177632 is a gapful number since it is divisible by the number (22) 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 252160177632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386928928512).

252160177632 is an abundant number, since it is smaller than the sum of its proper divisors (521697679392).

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

252160177632 is a wasteful number, since it uses less digits than its factorization.

252160177632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280681 (or 280673 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 252160177632 in words is "two hundred fifty-two billion, one hundred sixty million, one hundred seventy-seven thousand, six hundred thirty-two".