220059296800 has 72 divisors (see below), whose sum is σ = 613965453696. Its totient is φ = 75448899840.

The previous prime is 220059296797. The next prime is 220059296803. The reversal of 220059296800 is 8692950022.

220059296800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220059296797) and next prime (220059296803).

It is a super-2 number, since 2×220059296800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220059296803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19642552 + ... + 19653751.

It is an arithmetic number, because the mean of its divisors is an integer number (8527297968).

Almost surely, 2^220059296800 is an apocalyptic number.

220059296800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220059296800 is an abundant number, since it is smaller than the sum of its proper divisors (393906156896).

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

220059296800 is a wasteful number, since it uses less digits than its factorization.

220059296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39296330 (or 39296317 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 220059296800 in words is "two hundred twenty billion, fifty-nine million, two hundred ninety-six thousand, eight hundred".