13200858000 has 960 divisors, whose sum is σ = 55223251200. Its totient is φ = 2927232000.

The previous prime is 13200857959. The next prime is 13200858007. The reversal of 13200858000 is 85800231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200858007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 455201986 + ... + 455202014.

It is an arithmetic number, because the mean of its divisors is an integer number (57524220).

Almost surely, 2^13200858000 is an apocalyptic number.

13200858000 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 13200858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27611625600).

13200858000 is an abundant number, since it is smaller than the sum of its proper divisors (42022393200).

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

13200858000 is a wasteful number, since it uses less digits than its factorization.

13200858000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 13200858000 in words is "thirteen billion, two hundred million, eight hundred fifty-eight thousand".