22091672400 has 480 divisors, whose sum is σ = 86071157760. Its totient is φ = 4731125760.

The previous prime is 22091672387. The next prime is 22091672423. The reversal of 22091672400 is 427619022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15480487 + ... + 15481913.

It is an arithmetic number, because the mean of its divisors is an integer number (179314912).

Almost surely, 2^22091672400 is an apocalyptic number.

22091672400 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 22091672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43035578880).

22091672400 is an abundant number, since it is smaller than the sum of its proper divisors (63979485360).

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

22091672400 is a wasteful number, since it uses less digits than its factorization.

22091672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 22091672400 in words is "twenty-two billion, ninety-one million, six hundred seventy-two thousand, four hundred".