19242880800 has 864 divisors, whose sum is σ = 78227493120. Its totient is φ = 4061491200.

The previous prime is 19242880753. The next prime is 19242880801. The reversal of 19242880800 is 808824291.

It is a super-2 number, since 2×19242880800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19242880801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84770287 + ... + 84770513.

It is an arithmetic number, because the mean of its divisors is an integer number (90541080).

Almost surely, 2^19242880800 is an apocalyptic number.

19242880800 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 19242880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39113746560).

19242880800 is an abundant number, since it is smaller than the sum of its proper divisors (58984612320).

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

19242880800 is a wasteful number, since it uses less digits than its factorization.

19242880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 19242880800 in words is "nineteen billion, two hundred forty-two million, eight hundred eighty thousand, eight hundred".