16481170119760 has 160 divisors (see below), whose sum is σ = 40755303448992. Its totient is φ = 6176802078720.

The previous prime is 16481170119749. The next prime is 16481170119787. The reversal of 16481170119760 is 6791107118461.

16481170119760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1157578024464 + 15323592095296 = 1075908^2 + 3914536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16481170119698 and 16481170119707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419209864 + ... + 419249176.

Almost surely, 2^{16481170119760} is an apocalyptic number.

16481170119760 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 16481170119760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20377651724496).

16481170119760 is an abundant number, since it is smaller than the sum of its proper divisors (24274133329232).

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

16481170119760 is a wasteful number, since it uses less digits than its factorization.

16481170119760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40721 (or 40715 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 52.

The spelling of 16481170119760 in words is "sixteen trillion, four hundred eighty-one billion, one hundred seventy million, one hundred nineteen thousand, seven hundred sixty".