86506897344 has 224 divisors, whose sum is σ = 264455208960. Its totient is φ = 24445919232.

The previous prime is 86506897297. The next prime is 86506897349. The reversal of 86506897344 is 44379860568.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86506897349) 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 31 ways as a sum of consecutive naturals, for example, 78003862 + ... + 78004970.

Almost surely, 2^86506897344 is an apocalyptic number.

86506897344 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 86506897344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132227604480).

86506897344 is an abundant number, since it is smaller than the sum of its proper divisors (177948311616).

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

86506897344 is a wasteful number, since it uses less digits than its factorization.

86506897344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 86506897344 in words is "eighty-six billion, five hundred six million, eight hundred ninety-seven thousand, three hundred forty-four".