13305970752 has 112 divisors (see below), whose sum is σ = 36676584000. Its totient is φ = 4253655040.

The previous prime is 13305970723. The next prime is 13305970789. The reversal of 13305970752 is 25707950331.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450124 + ... + 478772.

It is an arithmetic number, because the mean of its divisors is an integer number (327469500).

Almost surely, 2^13305970752 is an apocalyptic number.

13305970752 is a gapful number since it is divisible by the number (12) 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 13305970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338292000).

13305970752 is an abundant number, since it is smaller than the sum of its proper divisors (23370613248).

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

13305970752 is a wasteful number, since it uses less digits than its factorization.

13305970752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28764 (or 28754 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The spelling of 13305970752 in words is "thirteen billion, three hundred five million, nine hundred seventy thousand, seven hundred fifty-two".