86506812000 has 1536 divisors, whose sum is σ = 391283343360. Its totient is φ = 18114969600.

The previous prime is 86506811959. The next prime is 86506812011. The reversal of 86506812000 is 21860568.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 681155937 + ... + 681156063.

It is an arithmetic number, because the mean of its divisors is an integer number (254741760).

Almost surely, 2^86506812000 is an apocalyptic number.

86506812000 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 86506812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195641671680).

86506812000 is an abundant number, since it is smaller than the sum of its proper divisors (304776531360).

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

86506812000 is a wasteful number, since it uses less digits than its factorization.

86506812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 86506812000 in words is "eighty-six billion, five hundred six million, eight hundred twelve thousand".