13086578080 has 192 divisors, whose sum is σ = 32631330816. Its totient is φ = 4953600000.

The previous prime is 13086578069. The next prime is 13086578083. The reversal of 13086578080 is 8087568031.

It is a self number, because there is not a number n which added to its sum of digits gives 13086578080.

It is not an unprimeable number, because it can be changed into a prime (13086578083) 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, 75644874 + ... + 75645046.

It is an arithmetic number, because the mean of its divisors is an integer number (169954848).

Almost surely, 2^13086578080 is an apocalyptic number.

13086578080 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 13086578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315665408).

13086578080 is an abundant number, since it is smaller than the sum of its proper divisors (19544752736).

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

13086578080 is a wasteful number, since it uses less digits than its factorization.

13086578080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 13086578080 in words is "thirteen billion, eighty-six million, five hundred seventy-eight thousand, eighty".