10985024512 has 176 divisors, whose sum is σ = 27618582528. Its totient is φ = 4242309120.

The previous prime is 10985024473. The next prime is 10985024527. The reversal of 10985024512 is 21542058901.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10013148 + ... + 10014244.

Almost surely, 2^10985024512 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 10985024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13809291264).

10985024512 is an abundant number, since it is smaller than the sum of its proper divisors (16633558016).

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

10985024512 is a wasteful number, since it uses less digits than its factorization.

10985024512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 10985024512 in words is "ten billion, nine hundred eighty-five million, twenty-four thousand, five hundred twelve".