10663388596800 has 756 divisors, whose sum is σ = 39434745335076. Its totient is φ = 2837879193600.

The previous prime is 10663388596793. The next prime is 10663388596849. The reversal of 10663388596800 is 869588336601.

10663388596800 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 3 + 38 + 8 + 596 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 283032512064 + 10380356084736 = 532008^2 + 3221856^2 .

It is a super-2 number, since 2×10663388596800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9248385024 + ... + 9248386176.

Almost surely, 2^{10663388596800} is an apocalyptic number.

10663388596800 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 10663388596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19717372667538).

10663388596800 is an abundant number, since it is smaller than the sum of its proper divisors (28771356738276).

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

10663388596800 is an frugal number, since it uses more digits than its factorization.

10663388596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 10663388596800 in words is "ten trillion, six hundred sixty-three billion, three hundred eighty-eight million, five hundred ninety-six thousand, eight hundred".