86009466245000 has 80 divisors (see below), whose sum is σ = 201650800338240. Its totient is φ = 34381486728000.

The previous prime is 86009466244991. The next prime is 86009466245029. The reversal of 86009466245000 is 54266490068.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 86009466245000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2140829 + ... + 13289171.

It is an arithmetic number, because the mean of its divisors is an integer number (2520635004228).

Almost surely, 2^{86009466245000} 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 86009466245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100825400169120).

86009466245000 is an abundant number, since it is smaller than the sum of its proper divisors (115641334093240).

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

86009466245000 is a wasteful number, since it uses less digits than its factorization.

86009466245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11149912 (or 11149893 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 86009466245000 in words is "eighty-six trillion, nine billion, four hundred sixty-six million, two hundred forty-five thousand".