22325836758400 has 576 divisors, whose sum is σ = 68128646652720. Its totient is φ = 7183244328960.

The previous prime is 22325836758367. The next prime is 22325836758409. The reversal of 22325836758400 is 485763852322.

It is a super-3 number, since 3×22325836758400³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22325836758409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 924951132 + ... + 924975268.

Almost surely, 2^{22325836758400} is an apocalyptic number.

22325836758400 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 22325836758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34064323326360).

22325836758400 is an abundant number, since it is smaller than the sum of its proper divisors (45802809894320).

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

22325836758400 is a wasteful number, since it uses less digits than its factorization.

22325836758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24539 (or 24515 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 22325836758400 in words is "twenty-two trillion, three hundred twenty-five billion, eight hundred thirty-six million, seven hundred fifty-eight thousand, four hundred".