220323613598480 has 480 divisors, whose sum is σ = 627303958977024. Its totient is φ = 71617340669952.

The previous prime is 220323613598479. The next prime is 220323613598551. The reversal of 220323613598480 is 84895316323022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5315001434 + ... + 5315042886.

Almost surely, 2^{220323613598480} is an apocalyptic number.

220323613598480 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 220323613598480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313651979488512).

220323613598480 is an abundant number, since it is smaller than the sum of its proper divisors (406980345378544).

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

220323613598480 is a wasteful number, since it uses less digits than its factorization.

220323613598480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42023 (or 42010 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 56.

The spelling of 220323613598480 in words is "two hundred twenty trillion, three hundred twenty-three billion, six hundred thirteen million, five hundred ninety-eight thousand, four hundred eighty".