252516096000 has 1536 divisors, whose sum is σ = 1133317785600. Its totient is φ = 54145843200.

The previous prime is 252516095981. The next prime is 252516096037. The reversal of 252516096000 is 690615252.

252516096000 is a `hidden beast` number, since 2 + 52 + 516 + 0 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 822527847 + ... + 822528153.

It is an arithmetic number, because the mean of its divisors is an integer number (737837100).

Almost surely, 2^252516096000 is an apocalyptic number.

252516096000 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 252516096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566658892800).

252516096000 is an abundant number, since it is smaller than the sum of its proper divisors (880801689600).

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

252516096000 is a wasteful number, since it uses less digits than its factorization.

252516096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 252516096000 in words is "two hundred fifty-two billion, five hundred sixteen million, ninety-six thousand".