85020364800 has 1248 divisors, whose sum is σ = 374421749760. Its totient is φ = 18490982400.

The previous prime is 85020364799. The next prime is 85020364811. The reversal of 85020364800 is 846302058.

85020364800 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 0 + 3 + 648 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445132705 + ... + 445132895.

Almost surely, 2^85020364800 is an apocalyptic number.

85020364800 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 85020364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187210874880).

85020364800 is an abundant number, since it is smaller than the sum of its proper divisors (289401384960).

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

85020364800 is a wasteful number, since it uses less digits than its factorization.

85020364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 85020364800 its reverse (846302058), we get a palindrome (85866666858).

The spelling of 85020364800 in words is "eighty-five billion, twenty million, three hundred sixty-four thousand, eight hundred".