215992764864000 has 3200 divisors, whose sum is σ = 882693126881280. Its totient is φ = 52296523776000.

The previous prime is 215992764863947. The next prime is 215992764864061. The reversal of 215992764864000 is 468467299512.

215992764864000 is a `hidden beast` number, since 2 + 1 + 5 + 9 + 92 + 7 + 64 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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 319 ways as a sum of consecutive naturals, for example, 387778751722 + ... + 387778752278.

Almost surely, 2^{215992764864000} is an apocalyptic number.

215992764864000 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 215992764864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441346563440640).

215992764864000 is an abundant number, since it is smaller than the sum of its proper divisors (666700362017280).

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

215992764864000 is a wasteful number, since it uses less digits than its factorization.

215992764864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 215992764864000 in words is "two hundred fifteen trillion, nine hundred ninety-two billion, seven hundred sixty-four million, eight hundred sixty-four thousand".