86445765000 has 640 divisors, whose sum is σ = 363168748800. Its totient is φ = 18593280000.

The previous prime is 86445764987. The next prime is 86445765001. The reversal of 86445765000 is 56754468.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86445765001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16062310 + ... + 16067690.

It is an arithmetic number, because the mean of its divisors is an integer number (567451170).

Almost surely, 2^86445765000 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 86445765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181584374400).

86445765000 is an abundant number, since it is smaller than the sum of its proper divisors (276722983800).

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

86445765000 is a wasteful number, since it uses less digits than its factorization.

86445765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 86445765000 in words is "eighty-six billion, four hundred forty-five million, seven hundred sixty-five thousand".