1022889766080 has 1792 divisors, whose sum is σ = 4403881488384. Its totient is φ = 195066593280.

The previous prime is 1022889766043. The next prime is 1022889766099. The reversal of 1022889766080 is 806679882201.

1022889766080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1022889766080.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6515221362 + ... + 6515221518.

It is an arithmetic number, because the mean of its divisors is an integer number (2457523152).

Almost surely, 2^{1022889766080} is an apocalyptic number.

1022889766080 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 1022889766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201940744192).

1022889766080 is an abundant number, since it is smaller than the sum of its proper divisors (3380991722304).

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

1022889766080 is a wasteful number, since it uses less digits than its factorization.

1022889766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

It can be divided in two parts, 102288976 and 6080, that added together give a triangular number (102295056 = T₁₄₃₀₃).

The spelling of 1022889766080 in words is "one trillion, twenty-two billion, eight hundred eighty-nine million, seven hundred sixty-six thousand, eighty".