13086768240 has 400 divisors, whose sum is σ = 55943794368. Its totient is φ = 2761039872.

The previous prime is 13086768199. The next prime is 13086768241. The reversal of 13086768240 is 4286768031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13086768241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 578584 + ... + 600776.

Almost surely, 2^13086768240 is an apocalyptic number.

13086768240 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 13086768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27971897184).

13086768240 is an abundant number, since it is smaller than the sum of its proper divisors (42857026128).

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

13086768240 is a wasteful number, since it uses less digits than its factorization.

13086768240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22238 (or 22223 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13086768240 in words is "thirteen billion, eighty-six million, seven hundred sixty-eight thousand, two hundred forty".