9220538880 has 1280 divisors, whose sum is σ = 42425856000. Its totient is φ = 1847328768.

The previous prime is 9220538869. The next prime is 9220538881. The reversal of 9220538880 is 888350229.

9220538880 is a `hidden beast` number, since 92 + 20 + 538 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9220538881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156280291 + ... + 156280349.

It is an arithmetic number, because the mean of its divisors is an integer number (33145200).

Almost surely, 2^9220538880 is an apocalyptic number.

9220538880 is a gapful number since it is divisible by the number (90) 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 9220538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928000).

9220538880 is an abundant number, since it is smaller than the sum of its proper divisors (33205317120).

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

9220538880 is a wasteful number, since it uses less digits than its factorization.

9220538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9220538880 is about 96023.6370900415. The cubic root of 9220538880 is about 2096.9372495810.

The spelling of 9220538880 in words is "nine billion, two hundred twenty million, five hundred thirty-eight thousand, eight hundred eighty".