22804079800320 has 2496 divisors, whose sum is σ = 102727391114880. Its totient is φ = 4756340736000.

The previous prime is 22804079800291. The next prime is 22804079800343. The reversal of 22804079800320 is 2300897040822.

22804079800320 is a `hidden beast` number, since 2 + 280 + 40 + 7 + 9 + 8 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35575787200 + ... + 35575787840.

Almost surely, 2^{22804079800320} is an apocalyptic number.

22804079800320 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 22804079800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51363695557440).

22804079800320 is an abundant number, since it is smaller than the sum of its proper divisors (79923311314560).

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

22804079800320 is a wasteful number, since it uses less digits than its factorization.

22804079800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 22804079800320 in words is "twenty-two trillion, eight hundred four billion, seventy-nine million, eight hundred thousand, three hundred twenty".