220557081360 has 1280 divisors, whose sum is σ = 967618068480. Its totient is φ = 40144896000.

The previous prime is 220557081323. The next prime is 220557081377. The reversal of 220557081360 is 63180755022.

It is a super-2 number, since 2×220557081360² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 250348120 + ... + 250349000.

It is an arithmetic number, because the mean of its divisors is an integer number (755951616).

Almost surely, 2^220557081360 is an apocalyptic number.

220557081360 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 220557081360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483809034240).

220557081360 is an abundant number, since it is smaller than the sum of its proper divisors (747060987120).

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

220557081360 is a wasteful number, since it uses less digits than its factorization.

220557081360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 220557081360 in words is "two hundred twenty billion, five hundred fifty-seven million, eighty-one thousand, three hundred sixty".