220745710080 has 960 divisors, whose sum is σ = 914569463808. Its totient is φ = 49985372160.

The previous prime is 220745710061. The next prime is 220745710099. The reversal of 220745710080 is 80017547022.

220745710080 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 4 + 571 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (220745710061) and next prime (220745710099).

It is a tau number, because it is divible by the number of its divisors (960).

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, 709793125 + ... + 709793435.

Almost surely, 2^220745710080 is an apocalyptic number.

220745710080 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 220745710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457284731904).

220745710080 is an abundant number, since it is smaller than the sum of its proper divisors (693823753728).

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

220745710080 is an equidigital number, since it uses as much as digits as its factorization.

220745710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 220745710080 in words is "two hundred twenty billion, seven hundred forty-five million, seven hundred ten thousand, eighty".