85414305600 has 1176 divisors, whose sum is σ = 349897000992. Its totient is φ = 20379340800.

The previous prime is 85414305593. The next prime is 85414305637. The reversal of 85414305600 is 650341458.

It is a happy number.

85414305600 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 43 + 0 + 5 + 600 = 666.

It is a super-2 number, since 2×85414305600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 652017535 + ... + 652017665.

Almost surely, 2^85414305600 is an apocalyptic number.

85414305600 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 85414305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174948500496).

85414305600 is an abundant number, since it is smaller than the sum of its proper divisors (264482695392).

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

85414305600 is a wasteful number, since it uses less digits than its factorization.

85414305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 85414305600 in words is "eighty-five billion, four hundred fourteen million, three hundred five thousand, six hundred".