13036875264 has 320 divisors, whose sum is σ = 44390016000. Its totient is φ = 3700629504.

The previous prime is 13036875259. The next prime is 13036875277. The reversal of 13036875264 is 46257863031.

13036875264 is a `hidden beast` number, since 1 + 303 + 6 + 87 + 5 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19256494 + ... + 19257170.

It is an arithmetic number, because the mean of its divisors is an integer number (138718800).

Almost surely, 2^13036875264 is an apocalyptic number.

13036875264 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 13036875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195008000).

13036875264 is an abundant number, since it is smaller than the sum of its proper divisors (31353140736).

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

13036875264 is an equidigital number, since it uses as much as digits as its factorization.

13036875264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13036875264 in words is "thirteen billion, thirty-six million, eight hundred seventy-five thousand, two hundred sixty-four".