189828416800 has 144 divisors (see below), whose sum is σ = 506072296800. Its totient is φ = 68956876800.

The previous prime is 189828416779. The next prime is 189828416801. The reversal of 189828416800 is 8614828981.

189828416800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (189828416801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8868511 + ... + 8889889.

It is an arithmetic number, because the mean of its divisors is an integer number (3514390950).

Almost surely, 2^189828416800 is an apocalyptic number.

189828416800 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 189828416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253036148400).

189828416800 is an abundant number, since it is smaller than the sum of its proper divisors (316243880000).

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

189828416800 is a wasteful number, since it uses less digits than its factorization.

189828416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22419 (or 22406 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 55.

The spelling of 189828416800 in words is "one hundred eighty-nine billion, eight hundred twenty-eight million, four hundred sixteen thousand, eight hundred".