220905520528 has 160 divisors (see below), whose sum is σ = 566500884480. Its totient is φ = 80789882880.

The previous prime is 220905520519. The next prime is 220905520609. The reversal of 220905520528 is 825025509022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8007783 + ... + 8035321.

It is an arithmetic number, because the mean of its divisors is an integer number (3540630528).

Almost surely, 2^220905520528 is an apocalyptic number.

220905520528 is a gapful number since it is divisible by the number (28) 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 220905520528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283250442240).

220905520528 is an abundant number, since it is smaller than the sum of its proper divisors (345595363952).

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

220905520528 is a wasteful number, since it uses less digits than its factorization.

220905520528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27965 (or 27959 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 220905520528 in words is "two hundred twenty billion, nine hundred five million, five hundred twenty thousand, five hundred twenty-eight".