85744488960 has 1080 divisors, whose sum is σ = 344935577844. Its totient is φ = 19667681280.

The previous prime is 85744488937. The next prime is 85744488997. The reversal of 85744488960 is 6988444758.

85744488960 is a `hidden beast` number, since 8 + 57 + 4 + 448 + 89 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 40755456 + 85703733504 = 6384^2 + 292752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1405647330 + ... + 1405647390.

Almost surely, 2^85744488960 is an apocalyptic number.

85744488960 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 85744488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172467788922).

85744488960 is an abundant number, since it is smaller than the sum of its proper divisors (259191088884).

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

85744488960 is a wasteful number, since it uses less digits than its factorization.

85744488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 85744488960 in words is "eighty-five billion, seven hundred forty-four million, four hundred eighty-eight thousand, nine hundred sixty".