1089165086976 has 144 divisors (see below), whose sum is σ = 3115095931584. Its totient is φ = 336598597632.

The previous prime is 1089165086929. The next prime is 1089165086987. The reversal of 1089165086976 is 6796805619801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252196 + ... + 1497308.

It is an arithmetic number, because the mean of its divisors is an integer number (21632610636).

Almost surely, 2^{1089165086976} is an apocalyptic number.

1089165086976 is a gapful number since it is divisible by the number (16) 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 1089165086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557547965792).

1089165086976 is an abundant number, since it is smaller than the sum of its proper divisors (2025930844608).

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

1089165086976 is a wasteful number, since it uses less digits than its factorization.

1089165086976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245216 (or 1245202 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 1089165086976 in words is "one trillion, eighty-nine billion, one hundred sixty-five million, eighty-six thousand, nine hundred seventy-six".