19021204800 has 1008 divisors, whose sum is σ = 79449289920. Its totient is φ = 4273274880.

The previous prime is 19021204799. The next prime is 19021204823. The reversal of 19021204800 is 840212091.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136843131 + ... + 136843269.

It is an arithmetic number, because the mean of its divisors is an integer number (78818740).

Almost surely, 2^19021204800 is an apocalyptic number.

19021204800 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 19021204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39724644960).

19021204800 is an abundant number, since it is smaller than the sum of its proper divisors (60428085120).

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

19021204800 is a wasteful number, since it uses less digits than its factorization.

19021204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 19021204800 its reverse (840212091), we get a palindrome (19861416891).

The spelling of 19021204800 in words is "nineteen billion, twenty-one million, two hundred four thousand, eight hundred".