10663566000 has 160 divisors (see below), whose sum is σ = 35488966656. Its totient is φ = 2751840000.

The previous prime is 10663565989. The next prime is 10663566007. The reversal of 10663566000 is 66536601.

10663566000 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 2×10663566000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10663566007) 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 31 ways as a sum of consecutive naturals, for example, 157335 + ... + 214665.

Almost surely, 2^10663566000 is an apocalyptic number.

10663566000 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 10663566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744483328).

10663566000 is an abundant number, since it is smaller than the sum of its proper divisors (24825400656).

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

10663566000 is a wasteful number, since it uses less digits than its factorization.

10663566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57388 (or 57372 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 10663566000 in words is "ten billion, six hundred sixty-three million, five hundred sixty-six thousand".