13210539264 has 288 divisors, whose sum is σ = 42626393600. Its totient is φ = 4011171840.

The previous prime is 13210539259. The next prime is 13210539269. The reversal of 13210539264 is 46293501231.

It is an interprime number because it is at equal distance from previous prime (13210539259) and next prime (13210539269).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210539269) by changing a digit.

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, 7097694 + ... + 7099554.

Almost surely, 2^13210539264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13210539264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21313196800).

13210539264 is an abundant number, since it is smaller than the sum of its proper divisors (29415854336).

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

13210539264 is a wasteful number, since it uses less digits than its factorization.

13210539264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13210539264 in words is "thirteen billion, two hundred ten million, five hundred thirty-nine thousand, two hundred sixty-four".