85561319808 has 96 divisors (see below), whose sum is σ = 249886635960. Its totient is φ = 28094736384.

The previous prime is 85561319771. The next prime is 85561319839. The reversal of 85561319808 is 80891316558.

85561319808 is a `hidden beast` number, since 8 + 5 + 5 + 613 + 19 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 477085 + ... + 631452.

Almost surely, 2^85561319808 is an apocalyptic number.

It is an amenable number.

85561319808 is an abundant number, since it is smaller than the sum of its proper divisors (164325316152).

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

85561319808 is a wasteful number, since it uses less digits than its factorization.

85561319808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108624 (or 1108609 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 85561319808 in words is "eighty-five billion, five hundred sixty-one million, three hundred nineteen thousand, eight hundred eight".