10165820336 has 80 divisors (see below), whose sum is σ = 22714337856. Its totient is φ = 4317401088.

The previous prime is 10165820323. The next prime is 10165820339. The reversal of 10165820336 is 63302856101.

It is a junction number, because it is equal to n+sod(n) for n = 10165820296 and 10165820305.

It is not an unprimeable number, because it can be changed into a prime (10165820339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10848860 + ... + 10849796.

Almost surely, 2^10165820336 is an apocalyptic number.

10165820336 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 10165820336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11357168928).

10165820336 is an abundant number, since it is smaller than the sum of its proper divisors (12548517520).

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

10165820336 is a wasteful number, since it uses less digits than its factorization.

10165820336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 10165820336 in words is "ten billion, one hundred sixty-five million, eight hundred twenty thousand, three hundred thirty-six".