10830696096960 has 448 divisors, whose sum is σ = 38347106480640. Its totient is φ = 2877713879040.

The previous prime is 10830696096949. The next prime is 10830696097019. The reversal of 10830696096960 is 6969069603801.

10830696096960 is a `hidden beast` number, since 10 + 8 + 3 + 0 + 6 + 9 + 609 + 6 + 9 + 6 + 0 = 666.

10830696096960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3123937147 + ... + 3123940613.

Almost surely, 2^{10830696096960} is an apocalyptic number.

10830696096960 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 10830696096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19173553240320).

10830696096960 is an abundant number, since it is smaller than the sum of its proper divisors (27516410383680).

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

10830696096960 is a wasteful number, since it uses less digits than its factorization.

10830696096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 10830696096960 in words is "ten trillion, eight hundred thirty billion, six hundred ninety-six million, ninety-six thousand, nine hundred sixty".