13181172480 has 648 divisors, whose sum is σ = 55888887600. Its totient is φ = 2851946496.

The previous prime is 13181172469. The next prime is 13181172491. The reversal of 13181172480 is 8427118131.

13181172480 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 1 + 172 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (13181172469) and next prime (13181172491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10724506 + ... + 10725734.

Almost surely, 2^13181172480 is an apocalyptic number.

13181172480 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 13181172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27944443800).

13181172480 is an abundant number, since it is smaller than the sum of its proper divisors (42707715120).

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

13181172480 is a wasteful number, since it uses less digits than its factorization.

13181172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 13181172480 in words is "thirteen billion, one hundred eighty-one million, one hundred seventy-two thousand, four hundred eighty".