220717161169920 has 1320 divisors, whose sum is σ = 842325704595144. Its totient is φ = 55254750068736.

The previous prime is 220717161169919. The next prime is 220717161169931. The reversal of 220717161169920 is 29961161717022.

220717161169920 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 17 + 1 + 611 + 6 + 9 + 9 + 2 + 0 = 666.

220717161169920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 74410912382976 + 146306248786944 = 8626176^2 + 12095712^2 .

It is a super-2 number, since 2×220717161169920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51896814514 + ... + 51896818766.

Almost surely, 2^{220717161169920} is an apocalyptic number.

220717161169920 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 220717161169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421162852297572).

220717161169920 is an abundant number, since it is smaller than the sum of its proper divisors (621608543425224).

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

220717161169920 is a wasteful number, since it uses less digits than its factorization.

220717161169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 220717161169920 in words is "two hundred twenty trillion, seven hundred seventeen billion, one hundred sixty-one million, one hundred sixty-nine thousand, nine hundred twenty".