12905726754432 has 128 divisors (see below), whose sum is σ = 35440882398720. Its totient is φ = 4156759756800.

The previous prime is 12905726754383. The next prime is 12905726754433. The reversal of 12905726754432 is 23445762750921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12905726754433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6943182 + ... + 8603442.

It is an arithmetic number, because the mean of its divisors is an integer number (276881893740).

Almost surely, 2^{12905726754432} is an apocalyptic number.

12905726754432 is a gapful number since it is divisible by the number (12) 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 12905726754432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720441199360).

12905726754432 is an abundant number, since it is smaller than the sum of its proper divisors (22535155644288).

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

12905726754432 is a wasteful number, since it uses less digits than its factorization.

12905726754432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660962 (or 1660950 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 12905726754432 in words is "twelve trillion, nine hundred five billion, seven hundred twenty-six million, seven hundred fifty-four thousand, four hundred thirty-two".