22665716126400 has 336 divisors, whose sum is σ = 79845685977600. Its totient is φ = 5608527052800.

The previous prime is 22665716126387. The next prime is 22665716126467. The reversal of 22665716126400 is 462161756622.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22665716126400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3837501 + ... + 7749699.

Almost surely, 2^{22665716126400} is an apocalyptic number.

22665716126400 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 22665716126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39922842988800).

22665716126400 is an abundant number, since it is smaller than the sum of its proper divisors (57179969851200).

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

22665716126400 is a wasteful number, since it uses less digits than its factorization.

22665716126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912312 (or 3912297 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 22665716126400 in words is "twenty-two trillion, six hundred sixty-five billion, seven hundred sixteen million, one hundred twenty-six thousand, four hundred".