13581863040 has 256 divisors, whose sum is σ = 46909653120. Its totient is φ = 3329163264.

The previous prime is 13581863039. The next prime is 13581863041. The reversal of 13581863040 is 4036818531.

It is an interprime number because it is at equal distance from previous prime (13581863039) and next prime (13581863041).

It is a self number, because there is not a number n which added to its sum of digits gives 13581863040.

It is not an unprimeable number, because it can be changed into a prime (13581863041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398682 + ... + 1408358.

Almost surely, 2^13581863040 is an apocalyptic number.

13581863040 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 13581863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23454826560).

13581863040 is an abundant number, since it is smaller than the sum of its proper divisors (33327790080).

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

13581863040 is a wasteful number, since it uses less digits than its factorization.

13581863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9759 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 13581863040 in words is "thirteen billion, five hundred eighty-one million, eight hundred sixty-three thousand, forty".