10480880116161 has 80 divisors (see below), whose sum is σ = 19513611532800. Its totient is φ = 5458396574592.

The previous prime is 10480880116117. The next prime is 10480880116181. The reversal of 10480880116161 is 16161108808401.

10480880116161 is a `hidden beast` number, since 1 + 0 + 480 + 8 + 8 + 0 + 1 + 1 + 6 + 161 = 666.

It is not a de Polignac number, because 10480880116161 - 2⁹ = 10480880115649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10480880116181) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8417106 + ... + 9581723.

It is an arithmetic number, because the mean of its divisors is an integer number (243920144160).

Almost surely, 2^{10480880116161} is an apocalyptic number.

It is an amenable number.

10480880116161 is a deficient number, since it is larger than the sum of its proper divisors (9032731416639).

10480880116161 is a wasteful number, since it uses less digits than its factorization.

10480880116161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17998940 (or 17998931 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 10480880116161 in words is "ten trillion, four hundred eighty billion, eight hundred eighty million, one hundred sixteen thousand, one hundred sixty-one".