215288576064 has 63 divisors (see below), whose sum is σ = 617117752173. Its totient is φ = 71759146752.

The previous prime is 215288575993. The next prime is 215288576077. The reversal of 215288576064 is 460675882512.

The square root of 215288576064 is 463992.

It is a perfect power (a square), and thus also a powerful number.

215288576064 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 8 + 8 + 576 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 202608014400 + 12680561664 = 450120^2 + 112608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 215288576064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11126142 + ... + 11145474.

Almost surely, 2^215288576064 is an apocalyptic number.

215288576064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

215288576064 is the 463992-nd square number.

It is an amenable number.

215288576064 is an abundant number, since it is smaller than the sum of its proper divisors (401829176109).

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

215288576064 is an frugal number, since it uses more digits than its factorization.

215288576064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38684 (or 19338 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 215288576064 in words is "two hundred fifteen billion, two hundred eighty-eight million, five hundred seventy-six thousand, sixty-four".