12905743785760 has 72 divisors (see below), whose sum is σ = 35467749461340. Its totient is φ = 4424826438144.

The previous prime is 12905743785751. The next prime is 12905743785763. The reversal of 12905743785760 is 6758734750921.

12905743785760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11797768604944 + 1107975180816 = 3434788^2 + 1052604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12905743785692 and 12905743785701.

It is not an unprimeable number, because it can be changed into a prime (12905743785763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 823062555 + ... + 823078234.

It is a 1-persistent number, because it is pandigital, but 2⋅12905743785760 = 25811487571520 is not.

Almost surely, 2^{12905743785760} is an apocalyptic number.

12905743785760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12905743785760 is an abundant number, since it is smaller than the sum of its proper divisors (22562005675580).

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

12905743785760 is a wasteful number, since it uses less digits than its factorization.

12905743785760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646140818 (or 1646140803 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 64.

The spelling of 12905743785760 in words is "twelve trillion, nine hundred five billion, seven hundred forty-three million, seven hundred eighty-five thousand, seven hundred sixty".