10065016516160 has 112 divisors (see below), whose sum is σ = 24795529133760. Its totient is φ = 3886904555520.

The previous prime is 10065016516147. The next prime is 10065016516183. The reversal of 10065016516160 is 6161561056001.

It is a super-2 number, since 2×10065016516160² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174314495 + ... + 174372225.

It is an arithmetic number, because the mean of its divisors is an integer number (221388652980).

Almost surely, 2^{10065016516160} is an apocalyptic number.

10065016516160 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 10065016516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12397764566880).

10065016516160 is an abundant number, since it is smaller than the sum of its proper divisors (14730512617600).

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

10065016516160 is a wasteful number, since it uses less digits than its factorization.

10065016516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76564 (or 76554 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 10065016516160 in words is "ten trillion, sixty-five billion, sixteen million, five hundred sixteen thousand, one hundred sixty".