10665083323440 has 960 divisors, whose sum is σ = 44573913086976. Its totient is φ = 2225201061888.

The previous prime is 10665083323429. The next prime is 10665083323451. The reversal of 10665083323440 is 4432338056601.

10665083323440 is a `hidden beast` number, since 1 + 0 + 66 + 50 + 83 + 3 + 23 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (10665083323429) and next prime (10665083323451).

It is a super-2 number, since 2×10665083323440² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5517372714 + ... + 5517374646.

Almost surely, 2^{10665083323440} is an apocalyptic number.

10665083323440 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 10665083323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286956543488).

10665083323440 is an abundant number, since it is smaller than the sum of its proper divisors (33908829763536).

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

10665083323440 is a wasteful number, since it uses less digits than its factorization.

10665083323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 10665083323440 in words is "ten trillion, six hundred sixty-five billion, eighty-three million, three hundred twenty-three thousand, four hundred forty".