10985871060 has 288 divisors, whose sum is σ = 36512985600. Its totient is φ = 2663055360.

The previous prime is 10985871011. The next prime is 10985871097. The reversal of 10985871060 is 6017858901.

10985871060 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 587 + 1 + 0 + 60 = 666.

It is a super-3 number, since 3×10985871060³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10985870997 and 10985871015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25489045 + ... + 25489475.

It is an arithmetic number, because the mean of its divisors is an integer number (126781200).

Almost surely, 2^10985871060 is an apocalyptic number.

10985871060 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 10985871060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18256492800).

10985871060 is an abundant number, since it is smaller than the sum of its proper divisors (25527114540).

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

10985871060 is a wasteful number, since it uses less digits than its factorization.

10985871060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 10985871060 in words is "ten billion, nine hundred eighty-five million, eight hundred seventy-one thousand, sixty".