220471938560 has 320 divisors, whose sum is σ = 580041000000. Its totient is φ = 80048553984.

The previous prime is 220471938539. The next prime is 220471938593. The reversal of 220471938560 is 65839174022.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210172916 + ... + 210173964.

It is an arithmetic number, because the mean of its divisors is an integer number (1812628125).

It is a 1-persistent number, because it is pandigital, but 2⋅220471938560 = 440943877120 is not.

Almost surely, 2^220471938560 is an apocalyptic number.

220471938560 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 220471938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290020500000).

220471938560 is an abundant number, since it is smaller than the sum of its proper divisors (359569061440).

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

220471938560 is a wasteful number, since it uses less digits than its factorization.

220471938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 220471938560 in words is "two hundred twenty billion, four hundred seventy-one million, nine hundred thirty-eight thousand, five hundred sixty".