220086021456 has 280 divisors, whose sum is σ = 735086534784. Its totient is φ = 62501310720.

The previous prime is 220086021433. The next prime is 220086021481. The reversal of 220086021456 is 654120680022.

It is a happy number.

220086021456 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 8 + 602 + 1 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220086021456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13627146 + ... + 13643286.

Almost surely, 2^220086021456 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 220086021456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367543267392).

220086021456 is an abundant number, since it is smaller than the sum of its proper divisors (515000513328).

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

220086021456 is a wasteful number, since it uses less digits than its factorization.

220086021456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16341 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 220086021456 in words is "two hundred twenty billion, eighty-six million, twenty-one thousand, four hundred fifty-six".