12756563043840 has 1600 divisors, whose sum is σ = 57091682469888. Its totient is φ = 2644785561600.

The previous prime is 12756563043823. The next prime is 12756563043893. The reversal of 12756563043840 is 4834036565721.

12756563043840 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 6 + 563 + 0 + 4 + 38 + 40 = 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 159 ways as a sum of consecutive naturals, for example, 14002812985 + ... + 14002813895.

Almost surely, 2^{12756563043840} is an apocalyptic number.

12756563043840 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 12756563043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28545841234944).

12756563043840 is an abundant number, since it is smaller than the sum of its proper divisors (44335119426048).

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

12756563043840 is an equidigital number, since it uses as much as digits as its factorization.

12756563043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 12756563043840 in words is "twelve trillion, seven hundred fifty-six billion, five hundred sixty-three million, forty-three thousand, eight hundred forty".