220093377065920 has 112 divisors (see below), whose sum is σ = 536342809118688. Its totient is φ = 85980807843840.

The previous prime is 220093377065833. The next prime is 220093377065923. The reversal of 220093377065920 is 29560773390022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220093377065923) 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 15 ways as a sum of consecutive naturals, for example, 129005650 + ... + 130700590.

Almost surely, 2^{220093377065920} is an apocalyptic number.

220093377065920 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 220093377065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268171404559344).

220093377065920 is an abundant number, since it is smaller than the sum of its proper divisors (316249432052768).

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

220093377065920 is a wasteful number, since it uses less digits than its factorization.

220093377065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704438 (or 1704428 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 55.

The spelling of 220093377065920 in words is "two hundred twenty trillion, ninety-three billion, three hundred seventy-seven million, sixty-five thousand, nine hundred twenty".