22520508480 has 252 divisors, whose sum is σ = 81756417132. Its totient is φ = 5689128960.

The previous prime is 22520508419. The next prime is 22520508503. The reversal of 22520508480 is 8480502522.

22520508480 is a `hidden beast` number, since 2 + 2 + 520 + 50 + 8 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7585713216 + 14934795264 = 87096^2 + 122208^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1028850 + ... + 1050510.

Almost surely, 2^22520508480 is an apocalyptic number.

22520508480 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 22520508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40878208566).

22520508480 is an abundant number, since it is smaller than the sum of its proper divisors (59235908652).

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

22520508480 is a wasteful number, since it uses less digits than its factorization.

22520508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21722 (or 21690 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 22520508480 in words is "twenty-two billion, five hundred twenty million, five hundred eight thousand, four hundred eighty".