220905542820 has 48 divisors (see below), whose sum is σ = 620220964608. Its totient is φ = 58747626240.

The previous prime is 220905542771. The next prime is 220905542833. The reversal of 220905542820 is 28245509022.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4994001 + ... + 5038040.

It is an arithmetic number, because the mean of its divisors is an integer number (12921270096).

Almost surely, 2^220905542820 is an apocalyptic number.

220905542820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220905542820 is an abundant number, since it is smaller than the sum of its proper divisors (399315421788).

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

220905542820 is a wasteful number, since it uses less digits than its factorization.

220905542820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10032420 (or 10032418 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 220905542820 in words is "two hundred twenty billion, nine hundred five million, five hundred forty-two thousand, eight hundred twenty".