220793172171264 has 2160 divisors, whose sum is σ = 845333046249120. Its totient is φ = 56965587517440.

The previous prime is 220793172171149. The next prime is 220793172171289. The reversal of 220793172171264 is 462171271397022.

220793172171264 is a `hidden beast` number, since 2 + 20 + 79 + 317 + 217 + 1 + 26 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220793172171264.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 356693331147 + ... + 356693331765.

It is an arithmetic number, because the mean of its divisors is an integer number (391357891782).

Almost surely, 2^{220793172171264} is an apocalyptic number.

220793172171264 is a gapful number since it is divisible by the number (24) 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 220793172171264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422666523124560).

220793172171264 is an abundant number, since it is smaller than the sum of its proper divisors (624539874077856).

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

220793172171264 is an frugal number, since it uses more digits than its factorization.

220793172171264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 220793172171264 in words is "two hundred twenty trillion, seven hundred ninety-three billion, one hundred seventy-two million, one hundred seventy-one thousand, two hundred sixty-four".