10865722027680 has 1152 divisors, whose sum is σ = 43568341689600. Its totient is φ = 2441674948608.

The previous prime is 10865722027649. The next prime is 10865722027681. The reversal of 10865722027680 is 8672022756801.

10865722027680 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 572 + 2 + 0 + 2 + 7 + 68 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10865722027681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9107897164 + ... + 9107898356.

It is an arithmetic number, because the mean of its divisors is an integer number (37819741050).

Almost surely, 2^{10865722027680} is an apocalyptic number.

10865722027680 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 10865722027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784170844800).

10865722027680 is an abundant number, since it is smaller than the sum of its proper divisors (32702619661920).

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

10865722027680 is a wasteful number, since it uses less digits than its factorization.

10865722027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10865722027680 in words is "ten trillion, eight hundred sixty-five billion, seven hundred twenty-two million, twenty-seven thousand, six hundred eighty".