187945380000 has 720 divisors, whose sum is σ = 796946895360. Its totient is φ = 42952896000.

The previous prime is 187945379933. The next prime is 187945380097. The reversal of 187945380000 is 83549781.

187945380000 is a `hidden beast` number, since 187 + 94 + 5 + 380 + 0 + 0 + 0 = 666.

187945380000 is digitally balanced in base 3, 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 (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26456449 + ... + 26463551.

It is an arithmetic number, because the mean of its divisors is an integer number (1106870688).

Almost surely, 2^187945380000 is an apocalyptic number.

187945380000 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 187945380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398473447680).

187945380000 is an abundant number, since it is smaller than the sum of its proper divisors (609001515360).

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

187945380000 is an equidigital number, since it uses as much as digits as its factorization.

187945380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 187945380000 in words is "one hundred eighty-seven billion, nine hundred forty-five million, three hundred eighty thousand".