85321756800 has 576 divisors, whose sum is σ = 363087653760. Its totient is φ = 18653184000.

The previous prime is 85321756781. The next prime is 85321756837. The reversal of 85321756800 is 865712358.

85321756800 is a `hidden beast` number, since 85 + 3 + 2 + 1 + 7 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4627600 + ... + 4646000.

It is an arithmetic number, because the mean of its divisors is an integer number (630360510).

Almost surely, 2^85321756800 is an apocalyptic number.

85321756800 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 85321756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181543826880).

85321756800 is an abundant number, since it is smaller than the sum of its proper divisors (277765896960).

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

85321756800 is a wasteful number, since it uses less digits than its factorization.

85321756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18461 (or 18441 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 85321756800 in words is "eighty-five billion, three hundred twenty-one million, seven hundred fifty-six thousand, eight hundred".