712040105889 has 192 divisors, whose sum is σ = 1251370598400. Its totient is φ = 381795410304.

The previous prime is 712040105867. The next prime is 712040105923. The reversal of 712040105889 is 988501040217.

712040105889 is a `hidden beast` number, since 7 + 1 + 20 + 40 + 1 + 0 + 588 + 9 = 666.

712040105889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 712040105889 - 2⁸ = 712040105633 is a prime.

It is a super-2 number, since 2×712040105889² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (712040105849) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1486513552 + ... + 1486514030.

It is an arithmetic number, because the mean of its divisors is an integer number (6517555200).

Almost surely, 2^712040105889 is an apocalyptic number.

It is an amenable number.

712040105889 is a deficient number, since it is larger than the sum of its proper divisors (539330492511).

712040105889 is a wasteful number, since it uses less digits than its factorization.

712040105889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 712040105889 in words is "seven hundred twelve billion, forty million, one hundred five thousand, eight hundred eighty-nine".