85504204800 has 1008 divisors, whose sum is σ = 366806195520. Its totient is φ = 19127992320.

The previous prime is 85504204777. The next prime is 85504204801. The reversal of 85504204800 is 840240558.

85504204800 is a `hidden beast` number, since 8 + 550 + 4 + 20 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (85504204801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1819238377 + ... + 1819238423.

Almost surely, 2^85504204800 is an apocalyptic number.

85504204800 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 85504204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183403097760).

85504204800 is an abundant number, since it is smaller than the sum of its proper divisors (281301990720).

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

85504204800 is an equidigital number, since it uses as much as digits as its factorization.

85504204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 85504204800 in words is "eighty-five billion, five hundred four million, two hundred four thousand, eight hundred".