85238828236800 has 3420 divisors, whose sum is σ = 383369108682780. Its totient is φ = 18644855685120.

The previous prime is 85238828236781. The next prime is 85238828236811. The reversal of 85238828236800 is 863282883258.

85238828236800 is a `hidden beast` number, since 8 + 523 + 8 + 8 + 2 + 8 + 23 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16518176833536 + 68720651403264 = 4064256^2 + 8289792^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 754325913544 + ... + 754325913656.

It is an arithmetic number, because the mean of its divisors is an integer number (112096230609).

Almost surely, 2^{85238828236800} is an apocalyptic number.

85238828236800 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 85238828236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191684554341390).

85238828236800 is an abundant number, since it is smaller than the sum of its proper divisors (298130280445980).

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

85238828236800 is an equidigital number, since it uses as much as digits as its factorization.

85238828236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 85238828236800 in words is "eighty-five trillion, two hundred thirty-eight billion, eight hundred twenty-eight million, two hundred thirty-six thousand, eight hundred".