12753840033792 has 520 divisors, whose sum is σ = 44760317115360. Its totient is φ = 3567494430720.

The previous prime is 12753840033787. The next prime is 12753840033811. The reversal of 12753840033792 is 29733004835721.

It is a happy number.

12753840033792 is a `hidden beast` number, since 1 + 2 + 7 + 538 + 4 + 0 + 0 + 33 + 79 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47309559 + ... + 47578377.

Almost surely, 2^{12753840033792} is an apocalyptic number.

12753840033792 is a gapful number since it is divisible by the number (12) 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 12753840033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22380158557680).

12753840033792 is an abundant number, since it is smaller than the sum of its proper divisors (32006477081568).

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

12753840033792 is a wasteful number, since it uses less digits than its factorization.

12753840033792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268879 (or 268848 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 12753840033792 in words is "twelve trillion, seven hundred fifty-three billion, eight hundred forty million, thirty-three thousand, seven hundred ninety-two".