12906295584 has 96 divisors (see below), whose sum is σ = 41697290880. Its totient is φ = 3403855872.

The previous prime is 12906295561. The next prime is 12906295609. The reversal of 12906295584 is 48559260921.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729949 + ... + 747420.

It is an arithmetic number, because the mean of its divisors is an integer number (434346780).

Almost surely, 2^12906295584 is an apocalyptic number.

12906295584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12906295584 is an abundant number, since it is smaller than the sum of its proper divisors (28790995296).

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

12906295584 is a wasteful number, since it uses less digits than its factorization.

12906295584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477402 (or 1477394 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 12906295584 in words is "twelve billion, nine hundred six million, two hundred ninety-five thousand, five hundred eighty-four".