13005649860 has 96 divisors (see below), whose sum is σ = 42403398912. Its totient is φ = 2916625920.

The previous prime is 13005649763. The next prime is 13005649871. The reversal of 13005649860 is 6894650031.

13005649860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269871 + ... + 314390.

It is an arithmetic number, because the mean of its divisors is an integer number (441702072).

Almost surely, 2^13005649860 is an apocalyptic number.

13005649860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005649860 is an abundant number, since it is smaller than the sum of its proper divisors (29397749052).

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

13005649860 is a wasteful number, since it uses less digits than its factorization.

13005649860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584333 (or 584331 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 13005649860 in words is "thirteen billion, five million, six hundred forty-nine thousand, eight hundred sixty".