985936896000 has 2688 divisors, whose sum is σ = 4592985845760. Its totient is φ = 198180864000.

The previous prime is 985936895807. The next prime is 985936896011. The reversal of 985936896000 is 698639589.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×985936896000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31804415985 + ... + 31804416015.

Almost surely, 2^985936896000 is an apocalyptic number.

985936896000 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 985936896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296492922880).

985936896000 is an abundant number, since it is smaller than the sum of its proper divisors (3607048949760).

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

985936896000 is a wasteful number, since it uses less digits than its factorization.

985936896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 985936896000 in words is "nine hundred eighty-five billion, nine hundred thirty-six million, eight hundred ninety-six thousand".