10165666115660 has 96 divisors (see below), whose sum is σ = 23510019052800. Its totient is φ = 3661473708800.

The previous prime is 10165666115659. The next prime is 10165666115663. The reversal of 10165666115660 is 6651166656101.

10165666115660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10165666115599 and 10165666115608.

It is not an unprimeable number, because it can be changed into a prime (10165666115663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164066366 + ... + 164128314.

It is an arithmetic number, because the mean of its divisors is an integer number (244896031800).

Almost surely, 2^{10165666115660} is an apocalyptic number.

10165666115660 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 10165666115660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11755009526400).

10165666115660 is an abundant number, since it is smaller than the sum of its proper divisors (13344352937140).

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

10165666115660 is a wasteful number, since it uses less digits than its factorization.

10165666115660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69047 (or 69045 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 10165666115660 in words is "ten trillion, one hundred sixty-five billion, six hundred sixty-six million, one hundred fifteen thousand, six hundred sixty".