13085259264 has 640 divisors, whose sum is σ = 50911027200. Its totient is φ = 3214909440.

The previous prime is 13085259241. The next prime is 13085259269. The reversal of 13085259264 is 46295258031.

13085259264 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 52 + 592 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13085259269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20224189 + ... + 20224835.

It is an arithmetic number, because the mean of its divisors is an integer number (79548480).

Almost surely, 2^13085259264 is an apocalyptic number.

13085259264 is a gapful number since it is divisible by the number (14) 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 13085259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25455513600).

13085259264 is an abundant number, since it is smaller than the sum of its proper divisors (37825767936).

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

13085259264 is a wasteful number, since it uses less digits than its factorization.

13085259264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13085259264 in words is "thirteen billion, eighty-five million, two hundred fifty-nine thousand, two hundred sixty-four".