220563753096960 has 4608 divisors, whose sum is σ = 1036186294026240. Its totient is φ = 43163792179200.

The previous prime is 220563753096923. The next prime is 220563753096971. The reversal of 220563753096960 is 69690357365022.

220563753096960 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 6 + 3 + 7 + 530 + 9 + 6 + 96 + 0 = 666.

It is a super-2 number, since 2×220563753096960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 344093218240 + ... + 344093218880.

It is an arithmetic number, because the mean of its divisors is an integer number (224866817280).

Almost surely, 2^{220563753096960} is an apocalyptic number.

220563753096960 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 220563753096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518093147013120).

220563753096960 is an abundant number, since it is smaller than the sum of its proper divisors (815622540929280).

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

220563753096960 is a wasteful number, since it uses less digits than its factorization.

220563753096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 220563753096960 in words is "two hundred twenty trillion, five hundred sixty-three billion, seven hundred fifty-three million, ninety-six thousand, nine hundred sixty".