13065771264 has 432 divisors, whose sum is σ = 43844879232. Its totient is φ = 3381460992.

The previous prime is 13065771239. The next prime is 13065771293. The reversal of 13065771264 is 46217756031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66323614 + ... + 66323810.

It is an arithmetic number, because the mean of its divisors is an integer number (101492776).

Almost surely, 2^13065771264 is an apocalyptic number.

13065771264 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 13065771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21922439616).

13065771264 is an abundant number, since it is smaller than the sum of its proper divisors (30779107968).

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

13065771264 is a wasteful number, since it uses less digits than its factorization.

13065771264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13065771264 in words is "thirteen billion, sixty-five million, seven hundred seventy-one thousand, two hundred sixty-four".