86005447572 has 192 divisors, whose sum is σ = 229345966080. Its totient is φ = 24854054400.

The previous prime is 86005447571. The next prime is 86005447589. The reversal of 86005447572 is 27574450068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86005447571) 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 63 ways as a sum of consecutive naturals, for example, 68311879 + ... + 68313137.

It is an arithmetic number, because the mean of its divisors is an integer number (1194510240).

Almost surely, 2^86005447572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86005447572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114672983040).

86005447572 is an abundant number, since it is smaller than the sum of its proper divisors (143340518508).

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

86005447572 is a wasteful number, since it uses less digits than its factorization.

86005447572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 86005447572 in words is "eighty-six billion, five million, four hundred forty-seven thousand, five hundred seventy-two".