220958884428480 has 1680 divisors, whose sum is σ = 922999436029440. Its totient is φ = 49988223774720.

The previous prime is 220958884428397. The next prime is 220958884428511. The reversal of 220958884428480 is 84824488859022.

220958884428480 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 5 + 8 + 88 + 44 + 28 + 480 = 666.

It is a super-2 number, since 2×220958884428480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 220958884428399 and 220958884428408.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3992507689 + ... + 3992563031.

It is an arithmetic number, because the mean of its divisors is an integer number (549404426208).

Almost surely, 2^{220958884428480} is an apocalyptic number.

220958884428480 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 220958884428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461499718014720).

220958884428480 is an abundant number, since it is smaller than the sum of its proper divisors (702040551600960).

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

220958884428480 is a wasteful number, since it uses less digits than its factorization.

220958884428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55480 (or 55450 counting only the distinct ones).

The product of its (nonzero) digits is 754974720, while the sum is 72.

The spelling of 220958884428480 in words is "two hundred twenty trillion, nine hundred fifty-eight billion, eight hundred eighty-four million, four hundred twenty-eight thousand, four hundred eighty".