985575874560 has 448 divisors, whose sum is σ = 3256573420800. Its totient is φ = 254384013312.

The previous prime is 985575874523. The next prime is 985575874561. The reversal of 985575874560 is 65478575589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985575874561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485743626 + ... + 485745654.

It is an arithmetic number, because the mean of its divisors is an integer number (7269137100).

Almost surely, 2^985575874560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985575874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628286710400).

985575874560 is an abundant number, since it is smaller than the sum of its proper divisors (2270997546240).

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

985575874560 is a wasteful number, since it uses less digits than its factorization.

985575874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 423360000, while the sum is 69.

The spelling of 985575874560 in words is "nine hundred eighty-five billion, five hundred seventy-five million, eight hundred seventy-four thousand, five hundred sixty".