12735719579520 has 2688 divisors, whose sum is σ = 56579216351040. Its totient is φ = 2725940625408.

The previous prime is 12735719579501. The next prime is 12735719579521. The reversal of 12735719579520 is 2597591753721.

12735719579520 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 5 + 7 + 1 + 9 + 579 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735719579521) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 27868095132 + ... + 27868095588.

Almost surely, 2^{12735719579520} is an apocalyptic number.

12735719579520 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 12735719579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28289608175520).

12735719579520 is an abundant number, since it is smaller than the sum of its proper divisors (43843496771520).

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

12735719579520 is an equidigital number, since it uses as much as digits as its factorization.

12735719579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 41674500, while the sum is 63.

The spelling of 12735719579520 in words is "twelve trillion, seven hundred thirty-five billion, seven hundred nineteen million, five hundred seventy-nine thousand, five hundred twenty".