13509392040 has 288 divisors, whose sum is σ = 48057108840. Its totient is φ = 3279790080.

The previous prime is 13509391999. The next prime is 13509392059. The reversal of 13509392040 is 4029390531.

It is a happy number.

13509392040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12083725476 + 1425666564 = 109926^2 + 37758^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13509391986 and 13509392004.

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 71 ways as a sum of consecutive naturals, for example, 5880172 + ... + 5882468.

Almost surely, 2^13509392040 is an apocalyptic number.

13509392040 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 13509392040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24028554420).

13509392040 is an abundant number, since it is smaller than the sum of its proper divisors (34547716800).

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

13509392040 is a wasteful number, since it uses less digits than its factorization.

13509392040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 13509392040 in words is "thirteen billion, five hundred nine million, three hundred ninety-two thousand, forty".