252100961280 has 1408 divisors, whose sum is σ = 1095688028160. Its totient is φ = 53721169920.

The previous prime is 252100961243. The next prime is 252100961297. The reversal of 252100961280 is 82169001252.

252100961280 is a `hidden beast` number, since 2 + 521 + 0 + 0 + 9 + 6 + 128 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 1046061960 + ... + 1046062200.

It is an arithmetic number, because the mean of its divisors is an integer number (778187520).

Almost surely, 2^252100961280 is an apocalyptic number.

252100961280 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 252100961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547844014080).

252100961280 is an abundant number, since it is smaller than the sum of its proper divisors (843587066880).

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

252100961280 is a wasteful number, since it uses less digits than its factorization.

252100961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 252100961280 in words is "two hundred fifty-two billion, one hundred million, nine hundred sixty-one thousand, two hundred eighty".