188680105200 has 240 divisors, whose sum is σ = 609360105600. Its totient is φ = 49903795200.

The previous prime is 188680105177. The next prime is 188680105213. The reversal of 188680105200 is 2501086881.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105465906 + ... + 105467694.

It is an arithmetic number, because the mean of its divisors is an integer number (2539000440).

Almost surely, 2^188680105200 is an apocalyptic number.

188680105200 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 188680105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304680052800).

188680105200 is an abundant number, since it is smaller than the sum of its proper divisors (420680000400).

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

188680105200 is a wasteful number, since it uses less digits than its factorization.

188680105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The spelling of 188680105200 in words is "one hundred eighty-eight billion, six hundred eighty million, one hundred five thousand, two hundred".