85806564480 has 768 divisors, whose sum is σ = 367834521600. Its totient is φ = 17947754496.

The previous prime is 85806564443. The next prime is 85806564583. The reversal of 85806564480 is 8446560858.

85806564480 is a `hidden beast` number, since 8 + 580 + 6 + 56 + 4 + 4 + 8 + 0 = 666.

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, 66567676 + ... + 66568964.

It is an arithmetic number, because the mean of its divisors is an integer number (478951200).

Almost surely, 2^85806564480 is an apocalyptic number.

85806564480 is a gapful number since it is divisible by the number (80) 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 85806564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183917260800).

85806564480 is an abundant number, since it is smaller than the sum of its proper divisors (282027957120).

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

85806564480 is a wasteful number, since it uses less digits than its factorization.

85806564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 85806564480 in words is "eighty-five billion, eight hundred six million, five hundred sixty-four thousand, four hundred eighty".