215292712064 has 64 divisors (see below), whose sum is σ = 433058788800. Its totient is φ = 106604467200.

The previous prime is 215292712057. The next prime is 215292712069. The reversal of 215292712064 is 460217292512.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×215292712064² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (215292712069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53727149 + ... + 53731155.

It is an arithmetic number, because the mean of its divisors is an integer number (6766543575).

Almost surely, 2^215292712064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215292712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216529394400).

215292712064 is an abundant number, since it is smaller than the sum of its proper divisors (217766076736).

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

215292712064 is a wasteful number, since it uses less digits than its factorization.

215292712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 215292712064 in words is "two hundred fifteen billion, two hundred ninety-two million, seven hundred twelve thousand, sixty-four".