215666520744960 has 1408 divisors, whose sum is σ = 817968466022400. Its totient is φ = 53795487744000.

The previous prime is 215666520744953. The next prime is 215666520745097. The reversal of 215666520744960 is 69447025666512.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19151625730 + ... + 19151636990.

It is an arithmetic number, because the mean of its divisors is an integer number (580943512800).

Almost surely, 2^{215666520744960} is an apocalyptic number.

215666520744960 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 215666520744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408984233011200).

215666520744960 is an abundant number, since it is smaller than the sum of its proper divisors (602301945277440).

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

215666520744960 is a wasteful number, since it uses less digits than its factorization.

215666520744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11476 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 215666520744960 in words is "two hundred fifteen trillion, six hundred sixty-six billion, five hundred twenty million, seven hundred forty-four thousand, nine hundred sixty".