13248205960 has 64 divisors (see below), whose sum is σ = 32629625280. Its totient is φ = 4801040640.

The previous prime is 13248205907. The next prime is 13248205979. The reversal of 13248205960 is 6950284231.

It is a super-2 number, since 2×13248205960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 77539 + ... + 180301.

It is an arithmetic number, because the mean of its divisors is an integer number (509837895).

Almost surely, 2^13248205960 is an apocalyptic number.

13248205960 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 13248205960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314812640).

13248205960 is an abundant number, since it is smaller than the sum of its proper divisors (19381419320).

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

13248205960 is a wasteful number, since it uses less digits than its factorization.

13248205960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103078 (or 103074 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 13248205960 in words is "thirteen billion, two hundred forty-eight million, two hundred five thousand, nine hundred sixty".