22635894960 has 480 divisors, whose sum is σ = 93636864000. Its totient is φ = 5006292480.

The previous prime is 22635894947. The next prime is 22635894971. The reversal of 22635894960 is 6949853622.

It is a happy number.

22635894960 is a `hidden beast` number, since 226 + 358 + 9 + 4 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22635894897 and 22635894906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3277591 + ... + 3284489.

It is an arithmetic number, because the mean of its divisors is an integer number (195076800).

Almost surely, 2^22635894960 is an apocalyptic number.

22635894960 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 22635894960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46818432000).

22635894960 is an abundant number, since it is smaller than the sum of its proper divisors (71000969040).

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

22635894960 is a wasteful number, since it uses less digits than its factorization.

22635894960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 22635894960 in words is "twenty-two billion, six hundred thirty-five million, eight hundred ninety-four thousand, nine hundred sixty".