13053165664 has 288 divisors, whose sum is σ = 33756549120. Its totient is φ = 4910976000.

The previous prime is 13053165649. The next prime is 13053165667. The reversal of 13053165664 is 46656135031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13053165667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102780769 + ... + 102780895.

It is an arithmetic number, because the mean of its divisors is an integer number (117210240).

Almost surely, 2^13053165664 is an apocalyptic number.

13053165664 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 13053165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16878274560).

13053165664 is an abundant number, since it is smaller than the sum of its proper divisors (20703383456).

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

13053165664 is a wasteful number, since it uses less digits than its factorization.

13053165664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 13053165664 in words is "thirteen billion, fifty-three million, one hundred sixty-five thousand, six hundred sixty-four".