220653059328 has 864 divisors, whose sum is σ = 754253660160. Its totient is φ = 61451550720.

The previous prime is 220653059311. The next prime is 220653059351. The reversal of 220653059328 is 823950356022.

220653059328 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 5 + 30 + 593 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1737425601 + ... + 1737425727.

Almost surely, 2^220653059328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220653059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377126830080).

220653059328 is an abundant number, since it is smaller than the sum of its proper divisors (533600600832).

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

220653059328 is a wasteful number, since it uses less digits than its factorization.

220653059328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 220653059328 in words is "two hundred twenty billion, six hundred fifty-three million, fifty-nine thousand, three hundred twenty-eight".