86195208528000 has 3072 divisors, whose sum is σ = 388643369587200. Its totient is φ = 17984913408000.

The previous prime is 86195208527963. The next prime is 86195208528007. The reversal of 86195208528000 is 82580259168.

It is a happy number.

86195208528000 is a `hidden beast` number, since 8 + 6 + 1 + 95 + 20 + 8 + 528 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×86195208528000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86195208528007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39557230911 + ... + 39557233089.

Almost surely, 2^{86195208528000} is an apocalyptic number.

86195208528000 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 86195208528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194321684793600).

86195208528000 is an abundant number, since it is smaller than the sum of its proper divisors (302448161059200).

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

86195208528000 is a wasteful number, since it uses less digits than its factorization.

86195208528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 86195208528000 in words is "eighty-six trillion, one hundred ninety-five billion, two hundred eight million, five hundred twenty-eight thousand".