85581609600 has 192 divisors, whose sum is σ = 282205464480. Its totient is φ = 22795776000.

The previous prime is 85581609583. The next prime is 85581609637. The reversal of 85581609600 is 690618558.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85581609600.

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 23 ways as a sum of consecutive naturals, for example, 9317010 + ... + 9326190.

Almost surely, 2^85581609600 is an apocalyptic number.

85581609600 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 85581609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141102732240).

85581609600 is an abundant number, since it is smaller than the sum of its proper divisors (196623854880).

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

85581609600 is a wasteful number, since it uses less digits than its factorization.

85581609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 85581609600 in words is "eighty-five billion, five hundred eighty-one million, six hundred nine thousand, six hundred".