10985364520 has 256 divisors, whose sum is σ = 29364249600. Its totient is φ = 3662807040.

The previous prime is 10985364469. The next prime is 10985364527. The reversal of 10985364520 is 2546358901.

It is not an unprimeable number, because it can be changed into a prime (10985364527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19038472 + ... + 19039048.

It is an arithmetic number, because the mean of its divisors is an integer number (114704100).

Almost surely, 2^10985364520 is an apocalyptic number.

10985364520 is a gapful number since it is divisible by the number (10) 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 10985364520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682124800).

10985364520 is an abundant number, since it is smaller than the sum of its proper divisors (18378885080).

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

10985364520 is a wasteful number, since it uses less digits than its factorization.

10985364520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 10985364520 in words is "ten billion, nine hundred eighty-five million, three hundred sixty-four thousand, five hundred twenty".