13187635830 has 48 divisors (see below), whose sum is σ = 35214560784. Its totient is φ = 3421656000.

The previous prime is 13187635829. The next prime is 13187635837. The reversal of 13187635830 is 3853678131.

13187635830 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 7 + 63 + 583 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13187635837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1976796 + ... + 1983455.

It is an arithmetic number, because the mean of its divisors is an integer number (733636683).

Almost surely, 2^13187635830 is an apocalyptic number.

13187635830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13187635830 is an abundant number, since it is smaller than the sum of its proper divisors (22026924954).

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

13187635830 is a wasteful number, since it uses less digits than its factorization.

13187635830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960301 (or 3960298 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13187635830 in words is "thirteen billion, one hundred eighty-seven million, six hundred thirty-five thousand, eight hundred thirty".