12268850457600 has 1320 divisors, whose sum is σ = 51161782864896. Its totient is φ = 2878156800000.

The previous prime is 12268850457481. The next prime is 12268850457623. The reversal of 12268850457600 is 675405886221.

12268850457600 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 88 + 50 + 457 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 707088925 + ... + 707106275.

Almost surely, 2^{12268850457600} is an apocalyptic number.

12268850457600 is a gapful number since it is divisible by the number (10) 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 12268850457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25580891432448).

12268850457600 is an abundant number, since it is smaller than the sum of its proper divisors (38892932407296).

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

12268850457600 is a wasteful number, since it uses less digits than its factorization.

12268850457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17435 (or 17403 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 12268850457600 in words is "twelve trillion, two hundred sixty-eight billion, eight hundred fifty million, four hundred fifty-seven thousand, six hundred".