252120281132160 has 4608 divisors, whose sum is σ = 1177033602240000. Its totient is φ = 51297246314496.

The previous prime is 252120281132129. The next prime is 252120281132183. The reversal of 252120281132160 is 61231182021252.

252120281132160 is a `hidden beast` number, since 2 + 5 + 212 + 0 + 281 + 1 + 3 + 2 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 420901971541 + ... + 420901972139.

It is an arithmetic number, because the mean of its divisors is an integer number (255432639375).

Almost surely, 2^{252120281132160} is an apocalyptic number.

252120281132160 is a gapful number since it is divisible by the number (20) 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 252120281132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588516801120000).

252120281132160 is an abundant number, since it is smaller than the sum of its proper divisors (924913321107840).

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

252120281132160 is an equidigital number, since it uses as much as digits as its factorization.

252120281132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 252120281132160 in words is "two hundred fifty-two trillion, one hundred twenty billion, two hundred eighty-one million, one hundred thirty-two thousand, one hundred sixty".