85066581600 has 2592 divisors, whose sum is σ = 431141780160. Its totient is φ = 15328051200.

The previous prime is 85066581599. The next prime is 85066581617. The reversal of 85066581600 is 618566058.

85066581600 is a `hidden beast` number, since 8 + 5 + 0 + 6 + 6 + 581 + 60 + 0 = 666.

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

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 431 ways as a sum of consecutive naturals, for example, 2299096782 + ... + 2299096818.

Almost surely, 2^85066581600 is an apocalyptic number.

85066581600 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 85066581600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215570890080).

85066581600 is an abundant number, since it is smaller than the sum of its proper divisors (346075198560).

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

85066581600 is a wasteful number, since it uses less digits than its factorization.

85066581600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

It can be divided in two parts, 85066 and 581600, that added together give a palindrome (666666).

The spelling of 85066581600 in words is "eighty-five billion, sixty-six million, five hundred eighty-one thousand, six hundred".