215915580160 has 288 divisors, whose sum is σ = 653058588672. Its totient is φ = 66643230720.

The previous prime is 215915580079. The next prime is 215915580169. The reversal of 215915580160 is 61085519512.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (215915580169) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3472545 + ... + 3534175.

It is an arithmetic number, because the mean of its divisors is an integer number (2267564544).

Almost surely, 2^215915580160 is an apocalyptic number.

215915580160 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 215915580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326529294336).

215915580160 is an abundant number, since it is smaller than the sum of its proper divisors (437143008512).

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

215915580160 is a wasteful number, since it uses less digits than its factorization.

215915580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61699 (or 61685 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 43.

The spelling of 215915580160 in words is "two hundred fifteen billion, nine hundred fifteen million, five hundred eighty thousand, one hundred sixty".