220552657413792 has 192 divisors, whose sum is σ = 639670145587200. Its totient is φ = 65978560327680.

The previous prime is 220552657413743. The next prime is 220552657413839. The reversal of 220552657413792 is 297314756255022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585364728 + ... + 585741384.

It is an arithmetic number, because the mean of its divisors is an integer number (3331615341600).

Almost surely, 2^{220552657413792} is an apocalyptic number.

220552657413792 is a gapful number since it is divisible by the number (22) 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 220552657413792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319835072793600).

220552657413792 is an abundant number, since it is smaller than the sum of its proper divisors (419117488173408).

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

220552657413792 is a wasteful number, since it uses less digits than its factorization.

220552657413792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383779 (or 383771 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 220552657413792 in words is "two hundred twenty trillion, five hundred fifty-two billion, six hundred fifty-seven million, four hundred thirteen thousand, seven hundred ninety-two".