188199910080 has 1120 divisors, whose sum is σ = 836002172544. Its totient is φ = 39128334336.

The previous prime is 188199910057. The next prime is 188199910081. The reversal of 188199910080 is 80019991881.

188199910080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 188199909999 and 188199910026.

It is not an unprimeable number, because it can be changed into a prime (188199910081) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 172186014 + ... + 172187106.

Almost surely, 2^188199910080 is an apocalyptic number.

188199910080 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 188199910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418001086272).

188199910080 is an abundant number, since it is smaller than the sum of its proper divisors (647802262464).

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

188199910080 is a wasteful number, since it uses less digits than its factorization.

188199910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 54.

The spelling of 188199910080 in words is "one hundred eighty-eight billion, one hundred ninety-nine million, nine hundred ten thousand, eighty".