188800012800 has 720 divisors, whose sum is σ = 776041972992. Its totient is φ = 42939187200.

The previous prime is 188800012789. The next prime is 188800012979. The reversal of 188800012800 is 8210008881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207244345 + ... + 207245255.

Almost surely, 2^188800012800 is an apocalyptic number.

188800012800 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 188800012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388020986496).

188800012800 is an abundant number, since it is smaller than the sum of its proper divisors (587241960192).

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

188800012800 is a wasteful number, since it uses less digits than its factorization.

188800012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 188800012800 in words is "one hundred eighty-eight billion, eight hundred million, twelve thousand, eight hundred".