13110612480 has 800 divisors, whose sum is σ = 55016121600. Its totient is φ = 2958778368.

The previous prime is 13110612479. The next prime is 13110612497. The reversal of 13110612480 is 8421601131.

It is a happy number.

13110612480 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 612 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165957081 + ... + 165957159.

It is an arithmetic number, because the mean of its divisors is an integer number (68770152).

Almost surely, 2^13110612480 is an apocalyptic number.

13110612480 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 13110612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27508060800).

13110612480 is an abundant number, since it is smaller than the sum of its proper divisors (41905509120).

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

13110612480 is an frugal number, since it uses more digits than its factorization.

13110612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 13110612480 in words is "thirteen billion, one hundred ten million, six hundred twelve thousand, four hundred eighty".