10981036516160 has 56 divisors (see below), whose sum is σ = 27686745759240. Its totient is φ = 4134037274624.

The previous prime is 10981036516129. The next prime is 10981036516189. The reversal of 10981036516160 is 6161563018901.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1692975708736 + 9288060807424 = 1301144^2 + 3047632^2 .

It is a super-2 number, since 2×10981036516160² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1009281005 + ... + 1009291884.

Almost surely, 2^{10981036516160} is an apocalyptic number.

10981036516160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10981036516160 is an abundant number, since it is smaller than the sum of its proper divisors (16705709243080).

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

10981036516160 is a wasteful number, since it uses less digits than its factorization.

10981036516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018572923 (or 2018572913 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 10981036516160 in words is "ten trillion, nine hundred eighty-one billion, thirty-six million, five hundred sixteen thousand, one hundred sixty".