220796928000 has 1200 divisors, whose sum is σ = 905498481888. Its totient is φ = 53526528000.

The previous prime is 220796927999. The next prime is 220796928043. The reversal of 220796928000 is 829697022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20072447995 + ... + 20072448005.

Almost surely, 2^220796928000 is an apocalyptic number.

220796928000 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 220796928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452749240944).

220796928000 is an abundant number, since it is smaller than the sum of its proper divisors (684701553888).

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

220796928000 is an frugal number, since it uses more digits than its factorization.

220796928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 220796928000 in words is "two hundred twenty billion, seven hundred ninety-six million, nine hundred twenty-eight thousand".