215008166560 has 192 divisors, whose sum is σ = 568131822720. Its totient is φ = 76217057280.

The previous prime is 215008166551. The next prime is 215008166591. The reversal of 215008166560 is 65661800512.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43059424 + ... + 43064416.

It is an arithmetic number, because the mean of its divisors is an integer number (2959019910).

Almost surely, 2^215008166560 is an apocalyptic number.

215008166560 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 215008166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284065911360).

215008166560 is an abundant number, since it is smaller than the sum of its proper divisors (353123656160).

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

215008166560 is a wasteful number, since it uses less digits than its factorization.

215008166560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5623 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 215008166560 in words is "two hundred fifteen billion, eight million, one hundred sixty-six thousand, five hundred sixty".