10863312768 has 768 divisors, whose sum is σ = 41702169600. Its totient is φ = 2632089600.

The previous prime is 10863312767. The next prime is 10863312769. The reversal of 10863312768 is 86721336801.

10863312768 is a `hidden beast` number, since 1 + 0 + 8 + 633 + 1 + 2 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10863312767) and next prime (10863312769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10863312767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105469005 + ... + 105469107.

It is an arithmetic number, because the mean of its divisors is an integer number (54299700).

Almost surely, 2^10863312768 is an apocalyptic number.

10863312768 is a gapful number since it is divisible by the number (18) 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 10863312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851084800).

10863312768 is an abundant number, since it is smaller than the sum of its proper divisors (30838856832).

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

10863312768 is a wasteful number, since it uses less digits than its factorization.

10863312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10863312768 in words is "ten billion, eight hundred sixty-three million, three hundred twelve thousand, seven hundred sixty-eight".