12757039349760 has 768 divisors, whose sum is σ = 46517888027520. Its totient is φ = 3353220218880.

The previous prime is 12757039349737. The next prime is 12757039349773. The reversal of 12757039349760 is 6794393075721.

It is a happy number.

12757039349760 is a `hidden beast` number, since 1 + 2 + 7 + 57 + 0 + 3 + 93 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×12757039349760² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2826729264 + ... + 2826733776.

Almost surely, 2^{12757039349760} is an apocalyptic number.

12757039349760 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 12757039349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23258944013760).

12757039349760 is an abundant number, since it is smaller than the sum of its proper divisors (33760848677760).

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

12757039349760 is an frugal number, since it uses more digits than its factorization.

12757039349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 12757039349760 in words is "twelve trillion, seven hundred fifty-seven billion, thirty-nine million, three hundred forty-nine thousand, seven hundred sixty".