87841050852168 has 192 divisors, whose sum is σ = 253433223126720. Its totient is φ = 28483231392000.

The previous prime is 87841050852151. The next prime is 87841050852169. The reversal of 87841050852168 is 86125805014878.

87841050852168 is a `hidden beast` number, since 8 + 7 + 8 + 4 + 10 + 508 + 52 + 1 + 68 = 666.

87841050852168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×87841050852168³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (87841050852169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363187438 + ... + 363429218.

It is an arithmetic number, because the mean of its divisors is an integer number (1319964703785).

Almost surely, 2^{87841050852168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87841050852168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126716611563360).

87841050852168 is an abundant number, since it is smaller than the sum of its proper divisors (165592172274552).

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

87841050852168 is a wasteful number, since it uses less digits than its factorization.

87841050852168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246890 (or 246874 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 63.

The spelling of 87841050852168 in words is "eighty-seven trillion, eight hundred forty-one billion, fifty million, eight hundred fifty-two thousand, one hundred sixty-eight".