10985969160 has 384 divisors, whose sum is σ = 38829922560. Its totient is φ = 2683699200.

The previous prime is 10985969117. The next prime is 10985969171. The reversal of 10985969160 is 6196958901.

It is a super-2 number, since 2×10985969160² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10985969097 and 10985969106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56922024 + ... + 56922216.

It is an arithmetic number, because the mean of its divisors is an integer number (101119590).

Almost surely, 2^10985969160 is an apocalyptic number.

10985969160 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 10985969160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19414961280).

10985969160 is an abundant number, since it is smaller than the sum of its proper divisors (27843953400).

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

10985969160 is a wasteful number, since it uses less digits than its factorization.

10985969160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 10985969160 in words is "ten billion, nine hundred eighty-five million, nine hundred sixty-nine thousand, one hundred sixty".