12790431360 has 768 divisors, whose sum is σ = 54177177600. Its totient is φ = 2821754880.

The previous prime is 12790431337. The next prime is 12790431371. The reversal of 12790431360 is 6313409721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33747651 + ... + 33748029.

It is an arithmetic number, because the mean of its divisors is an integer number (70543200).

Almost surely, 2^12790431360 is an apocalyptic number.

12790431360 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 12790431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27088588800).

12790431360 is an abundant number, since it is smaller than the sum of its proper divisors (41386746240).

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

12790431360 is an equidigital number, since it uses as much as digits as its factorization.

12790431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 12790431360 in words is "twelve billion, seven hundred ninety million, four hundred thirty-one thousand, three hundred sixty".