13065265920 has 432 divisors, whose sum is σ = 50666999040. Its totient is φ = 2855559168.

The previous prime is 13065265909. The next prime is 13065265931. The reversal of 13065265920 is 2956256031.

It is an interprime number because it is at equal distance from previous prime (13065265909) and next prime (13065265931).

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, 4326171 + ... + 4329189.

It is an arithmetic number, because the mean of its divisors is an integer number (117284720).

Almost surely, 2^13065265920 is an apocalyptic number.

13065265920 is a gapful number since it is divisible by the number (10) 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 13065265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25333499520).

13065265920 is an abundant number, since it is smaller than the sum of its proper divisors (37601733120).

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

13065265920 is a wasteful number, since it uses less digits than its factorization.

13065265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 13065265920 in words is "thirteen billion, sixty-five million, two hundred sixty-five thousand, nine hundred twenty".