10839093179904 has 1680 divisors, whose sum is σ = 38279640731904. Its totient is φ = 3038089420800.

The previous prime is 10839093179857. The next prime is 10839093179933. The reversal of 10839093179904 is 40997139093801.

10839093179904 is a `hidden beast` number, since 1 + 0 + 8 + 390 + 93 + 1 + 79 + 90 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 105233914317 + ... + 105233914419.

Almost surely, 2^{10839093179904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10839093179904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139820365952).

10839093179904 is an abundant number, since it is smaller than the sum of its proper divisors (27440547552000).

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

10839093179904 is an equidigital number, since it uses as much as digits as its factorization.

10839093179904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 10839093179904 in words is "ten trillion, eight hundred thirty-nine billion, ninety-three million, one hundred seventy-nine thousand, nine hundred four".