10739688960 has 960 divisors, whose sum is σ = 46813003776. Its totient is φ = 2043740160.

The previous prime is 10739688917. The next prime is 10739688979. The reversal of 10739688960 is 6988693701.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 10739688960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84564417 + ... + 84564543.

Almost surely, 2^10739688960 is an apocalyptic number.

10739688960 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 10739688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23406501888).

10739688960 is an abundant number, since it is smaller than the sum of its proper divisors (36073314816).

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

10739688960 is a wasteful number, since it uses less digits than its factorization.

10739688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 10739688960 in words is "ten billion, seven hundred thirty-nine million, six hundred eighty-eight thousand, nine hundred sixty".