22685209835904 has 1152 divisors, whose sum is σ = 86515873516800. Its totient is φ = 5569447403520.

The previous prime is 22685209835891. The next prime is 22685209835927. The reversal of 22685209835904 is 40953890258622.

22685209835904 is a `hidden beast` number, since 2 + 26 + 8 + 520 + 9 + 83 + 5 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 10140906274 + ... + 10140908510.

It is an arithmetic number, because the mean of its divisors is an integer number (75100584650).

Almost surely, 2^{22685209835904} is an apocalyptic number.

22685209835904 is a gapful number since it is divisible by the number (24) 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 22685209835904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43257936758400).

22685209835904 is an abundant number, since it is smaller than the sum of its proper divisors (63830663680896).

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

22685209835904 is a wasteful number, since it uses less digits than its factorization.

22685209835904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 22685209835904 in words is "twenty-two trillion, six hundred eighty-five billion, two hundred nine million, eight hundred thirty-five thousand, nine hundred four".