10409093725689 has 24 divisors (see below), whose sum is σ = 15309275302152. Its totient is φ = 6813380747520.

The previous prime is 10409093725651. The next prime is 10409093725699. The reversal of 10409093725689 is 98652739090401.

10409093725689 is a `hidden beast` number, since 10 + 40 + 90 + 9 + 372 + 56 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1427786010000 + 8981307715689 = 1194900^2 + 2996883^2 .

It is not a de Polignac number, because 10409093725689 - 2¹⁶ = 10409093660153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10409093725649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16714044 + ... + 17325629.

It is an arithmetic number, because the mean of its divisors is an integer number (637886470923).

It is a 1-persistent number, because it is pandigital, but 2⋅10409093725689 = 20818187451378 is not.

Almost surely, 2^{10409093725689} is an apocalyptic number.

It is an amenable number.

10409093725689 is a deficient number, since it is larger than the sum of its proper divisors (4900181576463).

10409093725689 is a wasteful number, since it uses less digits than its factorization.

10409093725689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34040297 (or 34040294 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 10409093725689 in words is "ten trillion, four hundred nine billion, ninety-three million, seven hundred twenty-five thousand, six hundred eighty-nine".