10665963360 has 960 divisors, whose sum is σ = 43798708800. Its totient is φ = 2424619008.

The previous prime is 10665963359. The next prime is 10665963383. The reversal of 10665963360 is 6336956601.

10665963360 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 9 + 633 + 6 + 0 = 666.

It is a super-2 number, since 2×10665963360² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 180779011 + ... + 180779069.

It is an arithmetic number, because the mean of its divisors is an integer number (45623655).

Almost surely, 2^10665963360 is an apocalyptic number.

10665963360 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 10665963360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21899354400).

10665963360 is an abundant number, since it is smaller than the sum of its proper divisors (33132745440).

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

10665963360 is a wasteful number, since it uses less digits than its factorization.

10665963360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 10665963360 in words is "ten billion, six hundred sixty-five million, nine hundred sixty-three thousand, three hundred sixty".