86808395520 has 576 divisors, whose sum is σ = 384073159680. Its totient is φ = 18037555200.

The previous prime is 86808395503. The next prime is 86808395549. The reversal of 86808395520 is 2559380868.

86808395520 is a `hidden beast` number, since 8 + 6 + 8 + 0 + 83 + 9 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2644810 + ... + 2677430.

It is an arithmetic number, because the mean of its divisors is an integer number (666793680).

Almost surely, 2^86808395520 is an apocalyptic number.

86808395520 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 86808395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192036579840).

86808395520 is an abundant number, since it is smaller than the sum of its proper divisors (297264764160).

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

86808395520 is a wasteful number, since it uses less digits than its factorization.

86808395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32669 (or 32649 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 86808395520 in words is "eighty-six billion, eight hundred eight million, three hundred ninety-five thousand, five hundred twenty".