10839075660 has 144 divisors (see below), whose sum is σ = 37647285312. Its totient is φ = 2472768000.

The previous prime is 10839075647. The next prime is 10839075677. The reversal of 10839075660 is 6657093801.

It is a happy number.

10839075660 is a `hidden beast` number, since 1 + 0 + 83 + 9 + 0 + 7 + 566 + 0 = 666.

It is a super-2 number, since 2×10839075660² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673710 + ... + 689610.

Almost surely, 2^10839075660 is an apocalyptic number.

10839075660 is a gapful number since it is divisible by the number (10) 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 10839075660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18823642656).

10839075660 is an abundant number, since it is smaller than the sum of its proper divisors (26808209652).

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

10839075660 is a wasteful number, since it uses less digits than its factorization.

10839075660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16464 (or 16459 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10839075660 in words is "ten billion, eight hundred thirty-nine million, seventy-five thousand, six hundred sixty".