12735711744 has 160 divisors (see below), whose sum is σ = 39509078400. Its totient is φ = 3569958912.

The previous prime is 12735711727. The next prime is 12735711773. The reversal of 12735711744 is 44711753721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12735711696 and 12735711705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558682 + ... + 581030.

It is an arithmetic number, because the mean of its divisors is an integer number (246931740).

Almost surely, 2^12735711744 is an apocalyptic number.

12735711744 is a gapful number since it is divisible by the number (14) 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 12735711744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754539200).

12735711744 is an abundant number, since it is smaller than the sum of its proper divisors (26773366656).

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

12735711744 is an equidigital number, since it uses as much as digits as its factorization.

12735711744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22430 (or 22414 counting only the distinct ones).

The product of its digits is 164640, while the sum is 42.

The spelling of 12735711744 in words is "twelve billion, seven hundred thirty-five million, seven hundred eleven thousand, seven hundred forty-four".