86150085000 has 960 divisors, whose sum is σ = 341890560000. Its totient is φ = 17962560000.

The previous prime is 86150084983. The next prime is 86150085017. The reversal of 86150085000 is 58005168.

It is an interprime number because it is at equal distance from previous prime (86150084983) and next prime (86150085017).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 432914901 + ... + 432915099.

It is an arithmetic number, because the mean of its divisors is an integer number (356136000).

Almost surely, 2^86150085000 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 86150085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170945280000).

86150085000 is an abundant number, since it is smaller than the sum of its proper divisors (255740475000).

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

86150085000 is a wasteful number, since it uses less digits than its factorization.

86150085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 86150085000 in words is "eighty-six billion, one hundred fifty million, eighty-five thousand".