22355798400 has 864 divisors, whose sum is σ = 90224381520. Its totient is φ = 5238374400.

The previous prime is 22355798389. The next prime is 22355798407. The reversal of 22355798400 is 489755322.

22355798400 is a `hidden beast` number, since 2 + 2 + 3 + 557 + 98 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22355798407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 314870365 + ... + 314870435.

Almost surely, 2^22355798400 is an apocalyptic number.

22355798400 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 22355798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45112190760).

22355798400 is an abundant number, since it is smaller than the sum of its proper divisors (67868583120).

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

22355798400 is a wasteful number, since it uses less digits than its factorization.

22355798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 22355798400 in words is "twenty-two billion, three hundred fifty-five million, seven hundred ninety-eight thousand, four hundred".