22806100905040 has 80 divisors (see below), whose sum is σ = 54449037069840. Its totient is φ = 8880387932160.

The previous prime is 22806100904989. The next prime is 22806100905163. The reversal of 22806100905040 is 4050900160822.

It can be written as a sum of positive squares in 8 ways, for example, as 6838308680256 + 15967792224784 = 2615016^2 + 3995972^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23616235 + ... + 24562954.

It is an arithmetic number, because the mean of its divisors is an integer number (680612963373).

Almost surely, 2^{22806100905040} is an apocalyptic number.

22806100905040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22806100905040 is an abundant number, since it is smaller than the sum of its proper divisors (31642936164800).

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

22806100905040 is a wasteful number, since it uses less digits than its factorization.

22806100905040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48179360 (or 48179354 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 22806100905040 in words is "twenty-two trillion, eight hundred six billion, one hundred million, nine hundred five thousand, forty".