85831125120 has 960 divisors, whose sum is σ = 338652384840. Its totient is φ = 20702822400.

The previous prime is 85831125113. The next prime is 85831125161. The reversal of 85831125120 is 2152113858.

85831125120 is a `hidden beast` number, since 8 + 583 + 1 + 1 + 2 + 51 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3342689856 + 82488435264 = 57816^2 + 287208^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

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 119 ways as a sum of consecutive naturals, for example, 849813070 + ... + 849813170.

Almost surely, 2^85831125120 is an apocalyptic number.

85831125120 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 85831125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169326192420).

85831125120 is an abundant number, since it is smaller than the sum of its proper divisors (252821259720).

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

85831125120 is a wasteful number, since it uses less digits than its factorization.

85831125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 85831125120 its reverse (2152113858), we get a palindrome (87983238978).

The spelling of 85831125120 in words is "eighty-five billion, eight hundred thirty-one million, one hundred twenty-five thousand, one hundred twenty".