22805203680 has 432 divisors, whose sum is σ = 92748290544. Its totient is φ = 5084835840.

The previous prime is 22805203651. The next prime is 22805203697. The reversal of 22805203680 is 8630250822.

22805203680 is a `hidden beast` number, since 2 + 28 + 0 + 520 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2889019 + ... + 2896901.

It is an arithmetic number, because the mean of its divisors is an integer number (214695117).

Almost surely, 2^22805203680 is an apocalyptic number.

22805203680 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 22805203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46374145272).

22805203680 is an abundant number, since it is smaller than the sum of its proper divisors (69943086864).

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

22805203680 is a wasteful number, since it uses less digits than its factorization.

22805203680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7959 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 22805203680 in words is "twenty-two billion, eight hundred five million, two hundred three thousand, six hundred eighty".