220056201603360 has 144 divisors (see below), whose sum is σ = 752725499755320. Its totient is φ = 58542267248640.

The previous prime is 220056201603347. The next prime is 220056201603377. The reversal of 220056201603360 is 63306102650022.

220056201603360 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 562 + 0 + 1 + 6 + 0 + 33 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145859822635536 + 74196378967824 = 12077244^2 + 8613732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180886405 + ... + 182098884.

Almost surely, 2^{220056201603360} is an apocalyptic number.

220056201603360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220056201603360 is an abundant number, since it is smaller than the sum of its proper divisors (532669298151960).

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

220056201603360 is a wasteful number, since it uses less digits than its factorization.

220056201603360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362985731 (or 362985720 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 220056201603360 in words is "two hundred twenty trillion, fifty-six billion, two hundred one million, six hundred three thousand, three hundred sixty".