86370816000 has 832 divisors, whose sum is σ = 341018196480. Its totient is φ = 18992332800.

The previous prime is 86370815989. The next prime is 86370816001. The reversal of 86370816000 is 61807368.

It is a self number, because there is not a number n which added to its sum of digits gives 86370816000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86370816001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311807862 + ... + 311808138.

It is an arithmetic number, because the mean of its divisors is an integer number (409877640).

Almost surely, 2^86370816000 is an apocalyptic number.

86370816000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86370816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170509098240).

86370816000 is an abundant number, since it is smaller than the sum of its proper divisors (254647380480).

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

86370816000 is a wasteful number, since it uses less digits than its factorization.

86370816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 86370816000 in words is "eighty-six billion, three hundred seventy million, eight hundred sixteen thousand".