8000085730014 has 192 divisors, whose sum is σ = 20643819356160. Its totient is φ = 2274585948000.

The previous prime is 8000085729997. The next prime is 8000085730031. The reversal of 8000085730014 is 4100375800008.

8000085730014 is a `hidden beast` number, since 80 + 0 + 0 + 0 + 8 + 573 + 0 + 0 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8000085729997) and next prime (8000085730031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1126293187 + ... + 1126300289.

It is an arithmetic number, because the mean of its divisors is an integer number (107519892480).

Almost surely, 2^{8000085730014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000085730014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10321909678080).

8000085730014 is an abundant number, since it is smaller than the sum of its proper divisors (12643733626146).

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

8000085730014 is a wasteful number, since it uses less digits than its factorization.

8000085730014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697 (or 8685 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 8000085730014 in words is "eight trillion, eighty-five million, seven hundred thirty thousand, fourteen".