215856610560 has 1152 divisors, whose sum is σ = 870469286400. Its totient is φ = 50323783680.

The previous prime is 215856610537. The next prime is 215856610591. The reversal of 215856610560 is 65016658512.

215856610560 is a `hidden beast` number, since 2 + 1 + 5 + 85 + 6 + 6 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 680935522 + ... + 680935838.

It is an arithmetic number, because the mean of its divisors is an integer number (755615700).

Almost surely, 2^215856610560 is an apocalyptic number.

215856610560 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 215856610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435234643200).

215856610560 is an abundant number, since it is smaller than the sum of its proper divisors (654612675840).

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

215856610560 is a wasteful number, since it uses less digits than its factorization.

215856610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 215856610560 in words is "two hundred fifteen billion, eight hundred fifty-six million, six hundred ten thousand, five hundred sixty".