215997952752 has 160 divisors (see below), whose sum is σ = 630822720000. Its totient is φ = 71635202496.

The previous prime is 215997952717. The next prime is 215997952787. The reversal of 215997952752 is 257259799512.

215997952752 is a `hidden beast` number, since 2 + 1 + 59 + 9 + 7 + 9 + 527 + 52 = 666.

215997952752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (215997952717) and next prime (215997952787).

It is a self number, because there is not a number n which added to its sum of digits gives 215997952752.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 6947899 + ... + 6978917.

It is an arithmetic number, because the mean of its divisors is an integer number (3942642000).

Almost surely, 2^215997952752 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 215997952752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315411360000).

215997952752 is an abundant number, since it is smaller than the sum of its proper divisors (414824767248).

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

215997952752 is an equidigital number, since it uses as much as digits as its factorization.

215997952752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31247 (or 31223 counting only the distinct ones).

The product of its digits is 35721000, while the sum is 63.

The spelling of 215997952752 in words is "two hundred fifteen billion, nine hundred ninety-seven million, nine hundred fifty-two thousand, seven hundred fifty-two".