10663870768320 has 448 divisors, whose sum is σ = 43073799552000. Its totient is φ = 2215868497920.

The previous prime is 10663870768249. The next prime is 10663870768339. The reversal of 10663870768320 is 2386707836601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10663870768320² (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 63 ways as a sum of consecutive naturals, for example, 2150016 + ... + 5094144.

It is an arithmetic number, because the mean of its divisors is an integer number (96146874000).

Almost surely, 2^{10663870768320} is an apocalyptic number.

10663870768320 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 10663870768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21536899776000).

10663870768320 is an abundant number, since it is smaller than the sum of its proper divisors (32409928783680).

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

10663870768320 is a wasteful number, since it uses less digits than its factorization.

10663870768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944181 (or 2944157 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 10663870768320 in words is "ten trillion, six hundred sixty-three billion, eight hundred seventy million, seven hundred sixty-eight thousand, three hundred twenty".