22757296115400 has 1152 divisors, whose sum is σ = 91548517662720. Its totient is φ = 4661616960000.

The previous prime is 22757296115399. The next prime is 22757296115429. The reversal of 22757296115400 is 451169275722.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2778325305 + ... + 2778333495.

It is an arithmetic number, because the mean of its divisors is an integer number (79469199360).

Almost surely, 2^{22757296115400} is an apocalyptic number.

22757296115400 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 22757296115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45774258831360).

22757296115400 is an abundant number, since it is smaller than the sum of its proper divisors (68791221547320).

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

22757296115400 is a wasteful number, since it uses less digits than its factorization.

22757296115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 22757296115400 in words is "twenty-two trillion, seven hundred fifty-seven billion, two hundred ninety-six million, one hundred fifteen thousand, four hundred".