10665987840 has 432 divisors, whose sum is σ = 38053229760. Its totient is φ = 2757427200.

The previous prime is 10665987821. The next prime is 10665987841. The reversal of 10665987840 is 4878956601.

10665987840 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 598 + 7 + 8 + 40 = 666.

10665987840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10665987840² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10665987841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103553229 + ... + 103553331.

It is an arithmetic number, because the mean of its divisors is an integer number (88086180).

Almost surely, 2^10665987840 is an apocalyptic number.

10665987840 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 10665987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19026614880).

10665987840 is an abundant number, since it is smaller than the sum of its proper divisors (27387241920).

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

10665987840 is a wasteful number, since it uses less digits than its factorization.

10665987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10665987840 in words is "ten billion, six hundred sixty-five million, nine hundred eighty-seven thousand, eight hundred forty".