13059811200 has 192 divisors, whose sum is σ = 43094139120. Its totient is φ = 3476275200.

The previous prime is 13059811199. The next prime is 13059811207. The reversal of 13059811200 is 211895031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13059811207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7880772 + ... + 7882428.

Almost surely, 2^13059811200 is an apocalyptic number.

13059811200 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 13059811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547069560).

13059811200 is an abundant number, since it is smaller than the sum of its proper divisors (30034327920).

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

13059811200 is a wasteful number, since it uses less digits than its factorization.

13059811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 13059811200 in words is "thirteen billion, fifty-nine million, eight hundred eleven thousand, two hundred".