12756573743520 has 384 divisors, whose sum is σ = 43005503923200. Its totient is φ = 3169257725952.

The previous prime is 12756573743503. The next prime is 12756573743521. The reversal of 12756573743520 is 2534737565721.

It is a happy number.

12756573743520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (12756573743521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133642371 + ... + 133737789.

It is an arithmetic number, because the mean of its divisors is an integer number (111993499800).

Almost surely, 2^{12756573743520} is an apocalyptic number.

12756573743520 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 12756573743520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502751961600).

12756573743520 is an abundant number, since it is smaller than the sum of its proper divisors (30248930179680).

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

12756573743520 is a wasteful number, since it uses less digits than its factorization.

12756573743520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95700 (or 95692 counting only the distinct ones).

The product of its (nonzero) digits is 37044000, while the sum is 57.

The spelling of 12756573743520 in words is "twelve trillion, seven hundred fifty-six billion, five hundred seventy-three million, seven hundred forty-three thousand, five hundred twenty".