86564388473472 has 768 divisors, whose sum is σ = 301561631078400. Its totient is φ = 21765985984512.

The previous prime is 86564388473441. The next prime is 86564388473527. The reversal of 86564388473472 is 27437488346568.

It is a junction number, because it is equal to n+sod(n) for n = 86564388473394 and 86564388473403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1727152029 + ... + 1727202147.

It is an arithmetic number, because the mean of its divisors is an integer number (392658373800).

Almost surely, 2^{86564388473472} 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 86564388473472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150780815539200).

86564388473472 is an abundant number, since it is smaller than the sum of its proper divisors (214997242604928).

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

86564388473472 is a wasteful number, since it uses less digits than its factorization.

86564388473472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50493 (or 50474 counting only the distinct ones).

The product of its digits is 5202247680, while the sum is 75.

The spelling of 86564388473472 in words is "eighty-six trillion, five hundred sixty-four billion, three hundred eighty-eight million, four hundred seventy-three thousand, four hundred seventy-two".