86397008544 has 648 divisors, whose sum is σ = 330806941920. Its totient is φ = 21251704320.

The previous prime is 86397008497. The next prime is 86397008573. The reversal of 86397008544 is 44580079368.

86397008544 is a `hidden beast` number, since 8 + 6 + 3 + 97 + 0 + 0 + 8 + 544 = 666.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 32442157 + ... + 32444819.

It is an arithmetic number, because the mean of its divisors is an integer number (510504540).

Almost surely, 2^86397008544 is an apocalyptic number.

86397008544 is a gapful number since it is divisible by the number (84) 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 86397008544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165403470960).

86397008544 is an abundant number, since it is smaller than the sum of its proper divisors (244409933376).

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

86397008544 is a wasteful number, since it uses less digits than its factorization.

86397008544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 86397008544 in words is "eighty-six billion, three hundred ninety-seven million, eight thousand, five hundred forty-four".