13068001900800 has 5184 divisors, whose sum is σ = 64565827522560. Its totient is φ = 2536095744000.

The previous prime is 13068001900799. The next prime is 13068001900817. The reversal of 13068001900800 is 800910086031.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 184056364765 + ... + 184056364835.

It is an arithmetic number, because the mean of its divisors is an integer number (12454827840).

Almost surely, 2^{13068001900800} is an apocalyptic number.

13068001900800 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 13068001900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32282913761280).

13068001900800 is an abundant number, since it is smaller than the sum of its proper divisors (51497825621760).

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

13068001900800 is a wasteful number, since it uses less digits than its factorization.

13068001900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 13068001900800 its reverse (800910086031), we get a palindrome (13868911986831).

The spelling of 13068001900800 in words is "thirteen trillion, sixty-eight billion, one million, nine hundred thousand, eight hundred".