220480145800 has 192 divisors, whose sum is σ = 544011163200. Its totient is φ = 82870272000.

The previous prime is 220480145789. The next prime is 220480145843. The reversal of 220480145800 is 8541084022.

It is a super-2 number, since 2×220480145800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391616319 + ... + 391616881.

It is an arithmetic number, because the mean of its divisors is an integer number (2833391475).

Almost surely, 2^220480145800 is an apocalyptic number.

220480145800 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 220480145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272005581600).

220480145800 is an abundant number, since it is smaller than the sum of its proper divisors (323531017400).

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

220480145800 is a wasteful number, since it uses less digits than its factorization.

220480145800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 220480145800 in words is "two hundred twenty billion, four hundred eighty million, one hundred forty-five thousand, eight hundred".