252136488960 has 448 divisors, whose sum is σ = 907692255360. Its totient is φ = 67204546560.

The previous prime is 252136488953. The next prime is 252136488973. The reversal of 252136488960 is 69884631252.

252136488960 is a `hidden beast` number, since 2 + 521 + 36 + 4 + 8 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 252136488897 and 252136488906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119438305 + ... + 119440415.

Almost surely, 2^252136488960 is an apocalyptic number.

252136488960 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 252136488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453846127680).

252136488960 is an abundant number, since it is smaller than the sum of its proper divisors (655555766400).

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

252136488960 is an frugal number, since it uses more digits than its factorization.

252136488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 252136488960 in words is "two hundred fifty-two billion, one hundred thirty-six million, four hundred eighty-eight thousand, nine hundred sixty".