10116505665 has 64 divisors (see below), whose sum is σ = 20614072320. Its totient is φ = 4611211200.

The previous prime is 10116505649. The next prime is 10116505669. The reversal of 10116505665 is 56650561101.

It is not a de Polignac number, because 10116505665 - 2⁴ = 10116505649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10116505669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312490 + ... + 343340.

It is an arithmetic number, because the mean of its divisors is an integer number (322094880).

Almost surely, 2^10116505665 is an apocalyptic number.

10116505665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10116505665 is an abundant number, since it is smaller than the sum of its proper divisors (10497566655).

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

10116505665 is a wasteful number, since it uses less digits than its factorization.

10116505665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31219 (or 31213 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10116505665 in words is "ten billion, one hundred sixteen million, five hundred five thousand, six hundred sixty-five".