85362482928800 has 576 divisors, whose sum is σ = 266162878485504. Its totient is φ = 25957590220800.

The previous prime is 85362482928787. The next prime is 85362482928829. The reversal of 85362482928800 is 882928426358.

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 95 ways as a sum of consecutive naturals, for example, 2338872152 + ... + 2338908648.

It is an arithmetic number, because the mean of its divisors is an integer number (462088330704).

Almost surely, 2^{85362482928800} is an apocalyptic number.

85362482928800 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 85362482928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133081439242752).

85362482928800 is an abundant number, since it is smaller than the sum of its proper divisors (180800395556704).

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

85362482928800 is a wasteful number, since it uses less digits than its factorization.

85362482928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37461 (or 37448 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 65.

The spelling of 85362482928800 in words is "eighty-five trillion, three hundred sixty-two billion, four hundred eighty-two million, nine hundred twenty-eight thousand, eight hundred".