220485184920 has 3072 divisors, whose sum is σ = 1115882127360. Its totient is φ = 37623398400.

The previous prime is 220485184867. The next prime is 220485184957. The reversal of 220485184920 is 29481584022.

220485184920 is a `hidden beast` number, since 2 + 2 + 0 + 48 + 518 + 4 + 92 + 0 = 666.

It is a super-2 number, since 2×220485184920² (a number of 23 digits) contains 22 as substring.

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 767 ways as a sum of consecutive naturals, for example, 5127562419 + ... + 5127562461.

It is an arithmetic number, because the mean of its divisors is an integer number (363242880).

Almost surely, 2^220485184920 is an apocalyptic number.

220485184920 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 220485184920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557941063680).

220485184920 is an abundant number, since it is smaller than the sum of its proper divisors (895396942440).

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

220485184920 is a wasteful number, since it uses less digits than its factorization.

220485184920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 220485184920 in words is "two hundred twenty billion, four hundred eighty-five million, one hundred eighty-four thousand, nine hundred twenty".