188871264000 has 864 divisors, whose sum is σ = 714505349376. Its totient is φ = 49675161600.

The previous prime is 188871263929. The next prime is 188871264007. The reversal of 188871264000 is 462178881.

188871264000 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 (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188871264007) 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 95 ways as a sum of consecutive naturals, for example, 832031887 + ... + 832032113.

It is an arithmetic number, because the mean of its divisors is an integer number (826973784).

Almost surely, 2^188871264000 is an apocalyptic number.

188871264000 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 188871264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357252674688).

188871264000 is an abundant number, since it is smaller than the sum of its proper divisors (525634085376).

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

188871264000 is an equidigital number, since it uses as much as digits as its factorization.

188871264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 188871264000 in words is "one hundred eighty-eight billion, eight hundred seventy-one million, two hundred sixty-four thousand".