22425638400 has 960 divisors, whose sum is σ = 95352111360. Its totient is φ = 5101977600.

The previous prime is 22425638399. The next prime is 22425638419. The reversal of 22425638400 is 483652422.

22425638400 is a `hidden beast` number, since 2 + 24 + 256 + 384 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 64627027 + ... + 64627373.

It is an arithmetic number, because the mean of its divisors is an integer number (99325116).

Almost surely, 2^22425638400 is an apocalyptic number.

22425638400 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 22425638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47676055680).

22425638400 is an abundant number, since it is smaller than the sum of its proper divisors (72926472960).

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

22425638400 is a wasteful number, since it uses less digits than its factorization.

22425638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 22425638400 in words is "twenty-two billion, four hundred twenty-five million, six hundred thirty-eight thousand, four hundred".