187840285065216 has 960 divisors, whose sum is σ = 674682952527360. Its totient is φ = 50420609187840.

The previous prime is 187840285065211. The next prime is 187840285065331. The reversal of 187840285065216 is 612560582048781.

187840285065216 is a `hidden beast` number, since 1 + 8 + 7 + 8 + 40 + 28 + 506 + 52 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187840285065211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32269415586 + ... + 32269421406.

It is an arithmetic number, because the mean of its divisors is an integer number (702794742216).

Almost surely, 2^{187840285065216} is an apocalyptic number.

187840285065216 is a gapful number since it is divisible by the number (16) 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 187840285065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337341476263680).

187840285065216 is an abundant number, since it is smaller than the sum of its proper divisors (486842667462144).

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

187840285065216 is an equidigital number, since it uses as much as digits as its factorization.

187840285065216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 187840285065216 in words is "one hundred eighty-seven trillion, eight hundred forty billion, two hundred eighty-five million, sixty-five thousand, two hundred sixteen".