22746127020400 has 360 divisors, whose sum is σ = 64804145344640. Its totient is φ = 7515561231360.

The previous prime is 22746127020377. The next prime is 22746127020451. The reversal of 22746127020400 is 402072164722.

It is a self number, because there is not a number n which added to its sum of digits gives 22746127020400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1288066771 + ... + 1288084429.

Almost surely, 2^{22746127020400} is an apocalyptic number.

22746127020400 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 22746127020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32402072672320).

22746127020400 is an abundant number, since it is smaller than the sum of its proper divisors (42058018324240).

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

22746127020400 is a wasteful number, since it uses less digits than its factorization.

22746127020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18289 (or 18249 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 22746127020400 in words is "twenty-two trillion, seven hundred forty-six billion, one hundred twenty-seven million, twenty thousand, four hundred".