220979394582480 has 240 divisors, whose sum is σ = 760240663889616. Its totient is φ = 57489239531520.

The previous prime is 220979394582473. The next prime is 220979394582481. The reversal of 220979394582480 is 84285493979022.

220979394582480 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 7 + 9 + 3 + 94 + 58 + 2 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 54356941216656 + 166622453365824 = 7372716^2 + 12908232^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 220979394582399 and 220979394582408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220979394582481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2327693094 + ... + 2327788026.

Almost surely, 2^{220979394582480} is an apocalyptic number.

220979394582480 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 220979394582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380120331944808).

220979394582480 is an abundant number, since it is smaller than the sum of its proper divisors (539261269307136).

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

220979394582480 is a wasteful number, since it uses less digits than its factorization.

220979394582480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173846 (or 173837 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 220979394582480 in words is "two hundred twenty trillion, nine hundred seventy-nine billion, three hundred ninety-four million, five hundred eighty-two thousand, four hundred eighty".