13286863590 has 768 divisors, whose sum is σ = 47619532800. Its totient is φ = 2299207680.

The previous prime is 13286863547. The next prime is 13286863591. The reversal of 13286863590 is 9536868231.

It is a happy number.

13286863590 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13286863591) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 182011794 + ... + 182011866.

It is an arithmetic number, because the mean of its divisors is an integer number (62004600).

Almost surely, 2^13286863590 is an apocalyptic number.

13286863590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13286863590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809766400).

13286863590 is an abundant number, since it is smaller than the sum of its proper divisors (34332669210).

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

13286863590 is a wasteful number, since it uses less digits than its factorization.

13286863590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 13286863590 in words is "thirteen billion, two hundred eighty-six million, eight hundred sixty-three thousand, five hundred ninety".