220965580800 has 624 divisors, whose sum is σ = 817625620000. Its totient is φ = 58498744320.

The previous prime is 220965580799. The next prime is 220965580807. The reversal of 220965580800 is 8085569022.

220965580800 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 65 + 580 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220965580807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633139026 + ... + 633139374.

Almost surely, 2^220965580800 is an apocalyptic number.

220965580800 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 220965580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408812810000).

220965580800 is an abundant number, since it is smaller than the sum of its proper divisors (596660039200).

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

220965580800 is a wasteful number, since it uses less digits than its factorization.

220965580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 220965580800 in words is "two hundred twenty billion, nine hundred sixty-five million, five hundred eighty thousand, eight hundred".