22880482560 has 576 divisors, whose sum is σ = 88347893760. Its totient is φ = 5573836800.

The previous prime is 22880482489. The next prime is 22880482561. The reversal of 22880482560 is 6528408822.

22880482560 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 0 + 4 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22880482561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57058360 + ... + 57058760.

It is an arithmetic number, because the mean of its divisors is an integer number (153381760).

Almost surely, 2^22880482560 is an apocalyptic number.

22880482560 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 22880482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44173946880).

22880482560 is an abundant number, since it is smaller than the sum of its proper divisors (65467411200).

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

22880482560 is a wasteful number, since it uses less digits than its factorization.

22880482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

It can be divided in two parts, 228804 and 82560, that added together give a square (311364 = 558²).

The spelling of 22880482560 in words is "twenty-two billion, eight hundred eighty million, four hundred eighty-two thousand, five hundred sixty".