84585886228350 has 480 divisors, whose sum is σ = 255133693273536. Its totient is φ = 20654461900800.

The previous prime is 84585886228313. The next prime is 84585886228351. The reversal of 84585886228350 is 5382268858548.

It is a happy number.

84585886228350 is a `hidden beast` number, since 8 + 4 + 5 + 8 + 588 + 6 + 2 + 2 + 8 + 35 + 0 = 666.

84585886228350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84585886228351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5215869442 + ... + 5215885658.

Almost surely, 2^{84585886228350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84585886228350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127566846636768).

84585886228350 is an abundant number, since it is smaller than the sum of its proper divisors (170547807045186).

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

84585886228350 is a wasteful number, since it uses less digits than its factorization.

84585886228350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17042 (or 17028 counting only the distinct ones).

The product of its (nonzero) digits is 1179648000, while the sum is 72.

The spelling of 84585886228350 in words is "eighty-four trillion, five hundred eighty-five billion, eight hundred eighty-six million, two hundred twenty-eight thousand, three hundred fifty".