13182099840 has 1024 divisors, whose sum is σ = 58728499200. Its totient is φ = 2720563200.

The previous prime is 13182099781. The next prime is 13182099883. The reversal of 13182099840 is 4899028131.

13182099840 is a `hidden beast` number, since 1 + 318 + 209 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130515790 + ... + 130515890.

It is an arithmetic number, because the mean of its divisors is an integer number (57352050).

Almost surely, 2^13182099840 is an apocalyptic number.

13182099840 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 13182099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29364249600).

13182099840 is an abundant number, since it is smaller than the sum of its proper divisors (45546399360).

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

13182099840 is a wasteful number, since it uses less digits than its factorization.

13182099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13182099840 in words is "thirteen billion, one hundred eighty-two million, ninety-nine thousand, eight hundred forty".