22205435904 has 520 divisors, whose sum is σ = 73072631808. Its totient is φ = 6688604160.

The previous prime is 22205435891. The next prime is 22205435911. The reversal of 22205435904 is 40953450222.

22205435904 is a `hidden beast` number, since 2 + 2 + 20 + 5 + 43 + 590 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 174845889 + ... + 174846015.

Almost surely, 2^22205435904 is an apocalyptic number.

22205435904 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 22205435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36536315904).

22205435904 is an abundant number, since it is smaller than the sum of its proper divisors (50867195904).

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

22205435904 is a wasteful number, since it uses less digits than its factorization.

22205435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 22205435904 in words is "twenty-two billion, two hundred five million, four hundred thirty-five thousand, nine hundred four".