215715500187264 has 768 divisors, whose sum is σ = 795808276623360. Its totient is φ = 54455327539200.

The previous prime is 215715500187217. The next prime is 215715500187269. The reversal of 215715500187264 is 462781005517512.

215715500187264 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 1 + 5 + 500 + 1 + 8 + 72 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 215715500187264.

It is not an unprimeable number, because it can be changed into a prime (215715500187269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 956382469 + ... + 956607995.

It is an arithmetic number, because the mean of its divisors is an integer number (1036208693520).

Almost surely, 2^{215715500187264} is an apocalyptic number.

215715500187264 is a gapful number since it is divisible by the number (24) 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 215715500187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397904138311680).

215715500187264 is an abundant number, since it is smaller than the sum of its proper divisors (580092776436096).

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

215715500187264 is a wasteful number, since it uses less digits than its factorization.

215715500187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225869 (or 225854 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 215715500187264 in words is "two hundred fifteen trillion, seven hundred fifteen billion, five hundred million, one hundred eighty-seven thousand, two hundred sixty-four".