10803165696 has 240 divisors, whose sum is σ = 33388363008. Its totient is φ = 3483648000.

The previous prime is 10803165691. The next prime is 10803165701. The reversal of 10803165696 is 69656130801.

10803165696 is a `hidden beast` number, since 1 + 0 + 80 + 3 + 1 + 6 + 569 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10803165691) and next prime (10803165701).

It is not an unprimeable number, because it can be changed into a prime (10803165691) 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, 3855496 + ... + 3858296.

Almost surely, 2^10803165696 is an apocalyptic number.

10803165696 is a gapful number since it is divisible by the number (16) 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 10803165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694181504).

10803165696 is an abundant number, since it is smaller than the sum of its proper divisors (22585197312).

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

10803165696 is an frugal number, since it uses more digits than its factorization.

10803165696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10803165696 in words is "ten billion, eight hundred three million, one hundred sixty-five thousand, six hundred ninety-six".