86508817920 has 1440 divisors, whose sum is σ = 380234368800. Its totient is φ = 18059231232.

The previous prime is 86508817867. The next prime is 86508817931. The reversal of 86508817920 is 2971880568.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 793658826 + ... + 793658934.

It is an arithmetic number, because the mean of its divisors is an integer number (264051645).

Almost surely, 2^86508817920 is an apocalyptic number.

86508817920 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 86508817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190117184400).

86508817920 is an abundant number, since it is smaller than the sum of its proper divisors (293725550880).

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

86508817920 is a wasteful number, since it uses less digits than its factorization.

86508817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 86508817920 in words is "eighty-six billion, five hundred eight million, eight hundred seventeen thousand, nine hundred twenty".