10789221081168 has 160 divisors (see below), whose sum is σ = 31634077432320. Its totient is φ = 3519208788480.

The previous prime is 10789221081143. The next prime is 10789221081203. The reversal of 10789221081168 is 86118012298701.

10789221081168 is a `hidden beast` number, since 107 + 8 + 92 + 210 + 81 + 168 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111156498 + ... + 111253518.

It is an arithmetic number, because the mean of its divisors is an integer number (197712983952).

Almost surely, 2^{10789221081168} is an apocalyptic number.

10789221081168 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 10789221081168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15817038716160).

10789221081168 is an abundant number, since it is smaller than the sum of its proper divisors (20844856351152).

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

10789221081168 is a wasteful number, since it uses less digits than its factorization.

10789221081168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102562 (or 102550 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 10789221081168 in words is "ten trillion, seven hundred eighty-nine billion, two hundred twenty-one million, eighty-one thousand, one hundred sixty-eight".