22820938560 has 1008 divisors, whose sum is σ = 97570137600. Its totient is φ = 4870914048.

The previous prime is 22820938523. The next prime is 22820938603. The reversal of 22820938560 is 6583902822.

It is a happy number.

22820938560 is a `hidden beast` number, since 2 + 2 + 8 + 209 + 385 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 256414996 + ... + 256415084.

Almost surely, 2^22820938560 is an apocalyptic number.

22820938560 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 22820938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48785068800).

22820938560 is an abundant number, since it is smaller than the sum of its proper divisors (74749199040).

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

22820938560 is a wasteful number, since it uses less digits than its factorization.

22820938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 22820938560 in words is "twenty-two billion, eight hundred twenty million, nine hundred thirty-eight thousand, five hundred sixty".