220761580032 has 960 divisors, whose sum is σ = 848075184000. Its totient is φ = 56184274944.

The previous prime is 220761579977. The next prime is 220761580153. The reversal of 220761580032 is 230085167022.

220761580032 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 615 + 8 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×220761580032² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218791944 + ... + 218792952.

It is an arithmetic number, because the mean of its divisors is an integer number (883411650).

Almost surely, 2^220761580032 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 220761580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424037592000).

220761580032 is an abundant number, since it is smaller than the sum of its proper divisors (627313603968).

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

220761580032 is a wasteful number, since it uses less digits than its factorization.

220761580032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 220761580032 in words is "two hundred twenty billion, seven hundred sixty-one million, five hundred eighty thousand, thirty-two".