13061068800 has 576 divisors, whose sum is σ = 48226913280. Its totient is φ = 3096576000.

The previous prime is 13061068759. The next prime is 13061068819. The reversal of 13061068800 is 886016031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61900695 + ... + 61900905.

It is an arithmetic number, because the mean of its divisors is an integer number (83727280).

Almost surely, 2^13061068800 is an apocalyptic number.

13061068800 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 13061068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24113456640).

13061068800 is an abundant number, since it is smaller than the sum of its proper divisors (35165844480).

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

13061068800 is a wasteful number, since it uses less digits than its factorization.

13061068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 13061068800 in words is "thirteen billion, sixty-one million, sixty-eight thousand, eight hundred".