10165456260 has 60 divisors (see below), whose sum is σ = 31889417868. Its totient is φ = 2710787904.

The previous prime is 10165456207. The next prime is 10165456267. The reversal of 10165456260 is 6265456101.

10165456260 is a `hidden beast` number, since 10 + 16 + 5 + 4 + 5 + 626 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7492979844 + 2672476416 = 86562^2 + 51696^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10165456267) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3135867 + ... + 3139106.

Almost surely, 2^10165456260 is an apocalyptic number.

10165456260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10165456260 is an abundant number, since it is smaller than the sum of its proper divisors (21723961608).

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

10165456260 is a wasteful number, since it uses less digits than its factorization.

10165456260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274994 (or 6274983 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10165456260 in words is "ten billion, one hundred sixty-five million, four hundred fifty-six thousand, two hundred sixty".