85561810560 has 384 divisors, whose sum is σ = 326445500160. Its totient is φ = 20540129280.

The previous prime is 85561810541. The next prime is 85561810597. The reversal of 85561810560 is 6501816558.

85561810560 is a `hidden beast` number, since 8 + 5 + 5 + 6 + 1 + 81 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2233165 + ... + 2271155.

It is an arithmetic number, because the mean of its divisors is an integer number (850118490).

Almost surely, 2^85561810560 is an apocalyptic number.

85561810560 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 85561810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163222750080).

85561810560 is an abundant number, since it is smaller than the sum of its proper divisors (240883689600).

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

85561810560 is a wasteful number, since it uses less digits than its factorization.

85561810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38056 (or 38041 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 85561810560 in words is "eighty-five billion, five hundred sixty-one million, eight hundred ten thousand, five hundred sixty".