220259179406400 has 84 divisors (see below), whose sum is σ = 722633657784912. Its totient is φ = 58735781173760.

The previous prime is 220259179406377. The next prime is 220259179406423. The reversal of 220259179406400 is 4604971952022.

It is an interprime number because it is at equal distance from previous prime (220259179406377) and next prime (220259179406423).

It is a super-2 number, since 2×220259179406400² (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 22943659722 + ... + 22943669321.

Almost surely, 2^{220259179406400} is an apocalyptic number.

220259179406400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220259179406400 is an abundant number, since it is smaller than the sum of its proper divisors (502374478378512).

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

220259179406400 is a wasteful number, since it uses less digits than its factorization.

220259179406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45887329068 (or 45887329053 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 220259179406400 in words is "two hundred twenty trillion, two hundred fifty-nine billion, one hundred seventy-nine million, four hundred six thousand, four hundred".