220271307984000 has 9216 divisors, whose sum is σ = 1124068080844800. Its totient is φ = 42326323200000.

The previous prime is 220271307983933. The next prime is 220271307984041. The reversal of 220271307984000 is 489703172022.

220271307984000 is a `hidden beast` number, since 2 + 2 + 0 + 27 + 130 + 7 + 98 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1458750383925 + ... + 1458750384075.

It is an arithmetic number, because the mean of its divisors is an integer number (121969192800).

Almost surely, 2^{220271307984000} is an apocalyptic number.

220271307984000 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 220271307984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562034040422400).

220271307984000 is an abundant number, since it is smaller than the sum of its proper divisors (903796772860800).

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

220271307984000 is a wasteful number, since it uses less digits than its factorization.

220271307984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 220271307984000 in words is "two hundred twenty trillion, two hundred seventy-one billion, three hundred seven million, nine hundred eighty-four thousand".