10665103680 has 1792 divisors, whose sum is σ = 53090795520. Its totient is φ = 1946419200.

The previous prime is 10665103679. The next prime is 10665103711. The reversal of 10665103680 is 8630156601.

It is a happy number.

10665103680 is a `hidden beast` number, since 1 + 0 + 66 + 510 + 3 + 6 + 80 = 666.

It is a super-2 number, since 2×10665103680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 260124460 + ... + 260124500.

It is an arithmetic number, because the mean of its divisors is an integer number (29626560).

Almost surely, 2^10665103680 is an apocalyptic number.

10665103680 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 10665103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26545397760).

10665103680 is an abundant number, since it is smaller than the sum of its proper divisors (42425691840).

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

10665103680 is a wasteful number, since it uses less digits than its factorization.

10665103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10665103680 in words is "ten billion, six hundred sixty-five million, one hundred three thousand, six hundred eighty".