85524741120 has 528 divisors, whose sum is σ = 342722626848. Its totient is φ = 18042716160.

The previous prime is 85524741079. The next prime is 85524741143. The reversal of 85524741120 is 2114742558.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9779950 + ... + 9788690.

Almost surely, 2^85524741120 is an apocalyptic number.

85524741120 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 85524741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171361313424).

85524741120 is an abundant number, since it is smaller than the sum of its proper divisors (257197885728).

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

85524741120 is a wasteful number, since it uses less digits than its factorization.

85524741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 85524741120 in words is "eighty-five billion, five hundred twenty-four million, seven hundred forty-one thousand, one hundred twenty".