220257588096 has 512 divisors, whose sum is σ = 812100172800. Its totient is φ = 57217425408.

The previous prime is 220257588049. The next prime is 220257588137. The reversal of 220257588096 is 690885752022.

It is a happy number.

220257588096 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 57 + 588 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×220257588096² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21066006 + ... + 21076458.

It is an arithmetic number, because the mean of its divisors is an integer number (1586133150).

Almost surely, 2^220257588096 is an apocalyptic number.

220257588096 is a gapful number since it is divisible by the number (26) 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 220257588096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406050086400).

220257588096 is an abundant number, since it is smaller than the sum of its proper divisors (591842584704).

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

220257588096 is a wasteful number, since it uses less digits than its factorization.

220257588096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10563 (or 10545 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 220257588096 in words is "two hundred twenty billion, two hundred fifty-seven million, five hundred eighty-eight thousand, ninety-six".