13158028800 has 1200 divisors, whose sum is σ = 58326549600. Its totient is φ = 2926264320.

The previous prime is 13158028787. The next prime is 13158028817. The reversal of 13158028800 is 882085131.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 355622382 + ... + 355622418.

It is an arithmetic number, because the mean of its divisors is an integer number (48605458).

Almost surely, 2^13158028800 is an apocalyptic number.

13158028800 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 13158028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29163274800).

13158028800 is an abundant number, since it is smaller than the sum of its proper divisors (45168520800).

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

13158028800 is an frugal number, since it uses more digits than its factorization.

13158028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 13158028800 in words is "thirteen billion, one hundred fifty-eight million, twenty-eight thousand, eight hundred".