985252423680 has 864 divisors, whose sum is σ = 4181639061600. Its totient is φ = 213329313792.

The previous prime is 985252423651. The next prime is 985252423777. The reversal of 985252423680 is 86324252589.

985252423680 is a `hidden beast` number, since 9 + 8 + 5 + 2 + 524 + 2 + 36 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85795219 + ... + 85806701.

It is an arithmetic number, because the mean of its divisors is an integer number (4839860025).

Almost surely, 2^985252423680 is an apocalyptic number.

985252423680 is a gapful number since it is divisible by the number (90) 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 985252423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090819530800).

985252423680 is an abundant number, since it is smaller than the sum of its proper divisors (3196386637920).

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

985252423680 is a wasteful number, since it uses less digits than its factorization.

985252423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11549 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 985252423680 in words is "nine hundred eighty-five billion, two hundred fifty-two million, four hundred twenty-three thousand, six hundred eighty".