84305270016 has 288 divisors, whose sum is σ = 277114400640. Its totient is φ = 25063833600.

The previous prime is 84305269957. The next prime is 84305270039. The reversal of 84305270016 is 61007250348.

84305270016 is a `hidden beast` number, since 84 + 305 + 270 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4019236 + ... + 4040156.

It is an arithmetic number, because the mean of its divisors is an integer number (962202780).

Almost surely, 2^84305270016 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 84305270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138557200320).

84305270016 is an abundant number, since it is smaller than the sum of its proper divisors (192809130624).

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

84305270016 is a wasteful number, since it uses less digits than its factorization.

84305270016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21010 (or 20990 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 84305270016 in words is "eighty-four billion, three hundred five million, two hundred seventy thousand, sixteen".