187128895991040 has 864 divisors, whose sum is σ = 711271272531456. Its totient is φ = 46942588108800.

The previous prime is 187128895991029. The next prime is 187128895991069. The reversal of 187128895991040 is 40199598821781.

187128895991040 is a `hidden beast` number, since 1 + 8 + 7 + 1 + 28 + 8 + 9 + 599 + 1 + 0 + 4 + 0 = 666.

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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 187128895991040.

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 95 ways as a sum of consecutive naturals, for example, 12431328154 + ... + 12431343206.

It is an arithmetic number, because the mean of its divisors is an integer number (823230639504).

Almost surely, 2^{187128895991040} is an apocalyptic number.

187128895991040 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 187128895991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355635636265728).

187128895991040 is an abundant number, since it is smaller than the sum of its proper divisors (524142376540416).

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

187128895991040 is a wasteful number, since it uses less digits than its factorization.

187128895991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17457 (or 17431 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 72.

The spelling of 187128895991040 in words is "one hundred eighty-seven trillion, one hundred twenty-eight billion, eight hundred ninety-five million, nine hundred ninety-one thousand, forty".