220378277054100 has 144 divisors (see below), whose sum is σ = 719579979558720. Its totient is φ = 51582794188800.

The previous prime is 220378277054093. The next prime is 220378277054147. The reversal of 220378277054100 is 1450772873022.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 220378277054100.

It is a congruent number.

It is an unprimeable number.

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, 1151305957 + ... + 1151497356.

It is an arithmetic number, because the mean of its divisors is an integer number (4997083191380).

Almost surely, 2^{220378277054100} is an apocalyptic number.

220378277054100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220378277054100 is an abundant number, since it is smaller than the sum of its proper divisors (499201702504620).

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

220378277054100 is a wasteful number, since it uses less digits than its factorization.

220378277054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302803370 (or 2302803363 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 220378277054100 in words is "two hundred twenty trillion, three hundred seventy-eight billion, two hundred seventy-seven million, fifty-four thousand, one hundred".