2013872889600 has 2592 divisors, whose sum is σ = 9061153382400. Its totient is φ = 434294784000.

The previous prime is 2013872889599. The next prime is 2013872889607. The reversal of 2013872889600 is 69882783102.

It is a happy number.

2013872889600 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 8 + 7 + 28 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013872889607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8426246281 + ... + 8426246519.

Almost surely, 2^{2013872889600} is an apocalyptic number.

2013872889600 is a gapful number since it is divisible by the number (20) 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 2013872889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530576691200).

2013872889600 is an abundant number, since it is smaller than the sum of its proper divisors (7047280492800).

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

2013872889600 is a wasteful number, since it uses less digits than its factorization.

2013872889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2013872889600 in words is "two trillion, thirteen billion, eight hundred seventy-two million, eight hundred eighty-nine thousand, six hundred".