86041315584 has 567 divisors, whose sum is σ = 302663055177. Its totient is φ = 24329797632.

The previous prime is 86041315571. The next prime is 86041315589. The reversal of 86041315584 is 48551314068.

The square root of 86041315584 is 293328.

It is a perfect power (a square), and thus also a powerful number.

86041315584 is a `hidden beast` number, since 8 + 6 + 0 + 413 + 155 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38635833600 + 47405481984 = 196560^2 + 217728^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-2 number, since 2×86041315584² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86041315589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 887023824 + ... + 887023920.

Almost surely, 2^86041315584 is an apocalyptic number.

86041315584 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

86041315584 is the 293328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86041315584

86041315584 is an abundant number, since it is smaller than the sum of its proper divisors (216621739593).

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

86041315584 is an frugal number, since it uses more digits than its factorization.

86041315584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 86041315584 in words is "eighty-six billion, forty-one million, three hundred fifteen thousand, five hundred eighty-four".