22057358400 has 1344 divisors, whose sum is σ = 105826560000. Its totient is φ = 4329676800.

The previous prime is 22057358399. The next prime is 22057358413. The reversal of 22057358400 is 485375022.

22057358400 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 73 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 63201426 + ... + 63201774.

It is an arithmetic number, because the mean of its divisors is an integer number (78740000).

Almost surely, 2^22057358400 is an apocalyptic number.

22057358400 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 22057358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52913280000).

22057358400 is an abundant number, since it is smaller than the sum of its proper divisors (83769201600).

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

22057358400 is a wasteful number, since it uses less digits than its factorization.

22057358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 22057358400 in words is "twenty-two billion, fifty-seven million, three hundred fifty-eight thousand, four hundred".