252896795136000 has 2912 divisors, whose sum is σ = 1001552042799360. Its totient is φ = 63589515264000.

The previous prime is 252896795135939. The next prime is 252896795136001. The reversal of 252896795136000 is 631597698252.

252896795136000 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 9 + 6 + 7 + 9 + 5 + 13 + 600 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (252896795136001) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 764038655835 + ... + 764038656165.

Almost surely, 2^{252896795136000} is an apocalyptic number.

252896795136000 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 252896795136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500776021399680).

252896795136000 is an abundant number, since it is smaller than the sum of its proper divisors (748655247663360).

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

252896795136000 is an frugal number, since it uses more digits than its factorization.

252896795136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 252896795136000 in words is "two hundred fifty-two trillion, eight hundred ninety-six billion, seven hundred ninety-five million, one hundred thirty-six thousand".