985727785392 has 480 divisors, whose sum is σ = 3466605123072. Its totient is φ = 264706486272.

The previous prime is 985727785379. The next prime is 985727785397. The reversal of 985727785392 is 293587727589.

985727785392 is a `hidden beast` number, since 9 + 85 + 7 + 2 + 7 + 7 + 8 + 539 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 985727785392.

It is not an unprimeable number, because it can be changed into a prime (985727785397) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 660232198 + ... + 660233690.

Almost surely, 2^985727785392 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 985727785392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733302561536).

985727785392 is an abundant number, since it is smaller than the sum of its proper divisors (2480877337680).

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

985727785392 is a wasteful number, since it uses less digits than its factorization.

985727785392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2949 counting only the distinct ones).

The product of its digits is 533433600, while the sum is 72.

The spelling of 985727785392 in words is "nine hundred eighty-five billion, seven hundred twenty-seven million, seven hundred eighty-five thousand, three hundred ninety-two".