252961632000 has 2592 divisors, whose sum is σ = 1230536990592. Its totient is φ = 48660480000.

The previous prime is 252961631971. The next prime is 252961632037. The reversal of 252961632000 is 236169252.

252961632000 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 616 + 32 + 0 + 0 + 0 = 666.

252961632000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4146911970 + ... + 4146912030.

Almost surely, 2^252961632000 is an apocalyptic number.

252961632000 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 252961632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615268495296).

252961632000 is an abundant number, since it is smaller than the sum of its proper divisors (977575358592).

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

252961632000 is a wasteful number, since it uses less digits than its factorization.

252961632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 252961632000 in words is "two hundred fifty-two billion, nine hundred sixty-one million, six hundred thirty-two thousand".