10161165040 has 80 divisors (see below), whose sum is σ = 26781098400. Its totient is φ = 3554343936.

The previous prime is 10161165019. The next prime is 10161165061. The reversal of 10161165040 is 4056116101.

10161165040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10161165019) and next prime (10161165061).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10161164996 and 10161165014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237355 + ... + 276874.

It is an arithmetic number, because the mean of its divisors is an integer number (334763730).

Almost surely, 2^10161165040 is an apocalyptic number.

10161165040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10161165040 is an abundant number, since it is smaller than the sum of its proper divisors (16619933360).

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

10161165040 is a wasteful number, since it uses less digits than its factorization.

10161165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514274 (or 514268 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 10161165040 in words is "ten billion, one hundred sixty-one million, one hundred sixty-five thousand, forty".