220279568913600 has 2016 divisors, whose sum is σ = 920452327280640. Its totient is φ = 45779779584000.

The previous prime is 220279568913559. The next prime is 220279568913601. The reversal of 220279568913600 is 6319865972022.

It is a super-2 number, since 2×220279568913600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (220279568913601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95317856445 + ... + 95317858755.

It is an arithmetic number, because the mean of its divisors is an integer number (456573575040).

Almost surely, 2^{220279568913600} is an apocalyptic number.

220279568913600 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 220279568913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460226163640320).

220279568913600 is an abundant number, since it is smaller than the sum of its proper divisors (700172758367040).

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

220279568913600 is a wasteful number, since it uses less digits than its factorization.

220279568913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 220279568913600 in words is "two hundred twenty trillion, two hundred seventy-nine billion, five hundred sixty-eight million, nine hundred thirteen thousand, six hundred".