12768091440 has 160 divisors (see below), whose sum is σ = 43533213696. Its totient is φ = 3076008960.

The previous prime is 12768091439. The next prime is 12768091513. The reversal of 12768091440 is 4419086721.

It is a junction number, because it is equal to n+sod(n) for n = 12768091392 and 12768091401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103105 + ... + 190175.

Almost surely, 2^12768091440 is an apocalyptic number.

12768091440 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 12768091440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21766606848).

12768091440 is an abundant number, since it is smaller than the sum of its proper divisors (30765122256).

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

12768091440 is a wasteful number, since it uses less digits than its factorization.

12768091440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87147 (or 87141 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 12768091440 in words is "twelve billion, seven hundred sixty-eight million, ninety-one thousand, four hundred forty".