19013068800 has 864 divisors, whose sum is σ = 77312551680. Its totient is φ = 4460544000.

The previous prime is 19013068747. The next prime is 19013068807. The reversal of 19013068800 is 886031091.

It is a super-2 number, since 2×19013068800² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (19013068807) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 613324785 + ... + 613324815.

It is an arithmetic number, because the mean of its divisors is an integer number (89482120).

Almost surely, 2^19013068800 is an apocalyptic number.

19013068800 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 19013068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38656275840).

19013068800 is an abundant number, since it is smaller than the sum of its proper divisors (58299482880).

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

19013068800 is a wasteful number, since it uses less digits than its factorization.

19013068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

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

Adding to 19013068800 its reverse (886031091), we get a palindrome (19899099891).

The spelling of 19013068800 in words is "nineteen billion, thirteen million, sixty-eight thousand, eight hundred".