10396565568000 has 640 divisors, whose sum is σ = 38442017053440. Its totient is φ = 2769865113600.

The previous prime is 10396565567989. The next prime is 10396565568031. The reversal of 10396565568000 is 86556569301.

It is a happy number.

10396565568000 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 6 + 5 + 6 + 556 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2562621972 + ... + 2562626028.

It is an arithmetic number, because the mean of its divisors is an integer number (60065651646).

Almost surely, 2^{10396565568000} is an apocalyptic number.

10396565568000 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 10396565568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19221008526720).

10396565568000 is an abundant number, since it is smaller than the sum of its proper divisors (28045451485440).

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

10396565568000 is an equidigital number, since it uses as much as digits as its factorization.

10396565568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 10396565568000 in words is "ten trillion, three hundred ninety-six billion, five hundred sixty-five million, five hundred sixty-eight thousand".