215856152356800 has 672 divisors, whose sum is σ = 716199235315200. Its totient is φ = 56915365478400.

The previous prime is 215856152356727. The next prime is 215856152356883. The reversal of 215856152356800 is 8653251658512.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123984003930 + ... + 123984005670.

It is an arithmetic number, because the mean of its divisors is an integer number (1065772671600).

Almost surely, 2^{215856152356800} is an apocalyptic number.

215856152356800 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 215856152356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358099617657600).

215856152356800 is an abundant number, since it is smaller than the sum of its proper divisors (500343082958400).

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

215856152356800 is a wasteful number, since it uses less digits than its factorization.

215856152356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 57.

The spelling of 215856152356800 in words is "two hundred fifteen trillion, eight hundred fifty-six billion, one hundred fifty-two million, three hundred fifty-six thousand, eight hundred".