220895518452804 has 480 divisors, whose sum is σ = 643318248900096. Its totient is φ = 65664057507840.

The previous prime is 220895518452799. The next prime is 220895518452823. The reversal of 220895518452804 is 408254815598022.

220895518452804 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 95 + 5 + 18 + 4 + 528 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21705361764 + ... + 21705371940.

Almost surely, 2^{220895518452804} 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 220895518452804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321659124450048).

220895518452804 is an abundant number, since it is smaller than the sum of its proper divisors (422422730447292).

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

220895518452804 is a wasteful number, since it uses less digits than its factorization.

220895518452804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11657 (or 11646 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 220895518452804 in words is "two hundred twenty trillion, eight hundred ninety-five billion, five hundred eighteen million, four hundred fifty-two thousand, eight hundred four".