1089018066240 has 672 divisors, whose sum is σ = 4182940210176. Its totient is φ = 258241167360.

The previous prime is 1089018066229. The next prime is 1089018066247. The reversal of 1089018066240 is 426608109801.

1089018066240 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 0 + 18 + 0 + 6 + 624 + 0 = 666.

1089018066240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089018066247) 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, 270427107 + ... + 270431133.

It is an arithmetic number, because the mean of its divisors is an integer number (6224613408).

Almost surely, 2^{1089018066240} is an apocalyptic number.

1089018066240 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 1089018066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091470105088).

1089018066240 is an abundant number, since it is smaller than the sum of its proper divisors (3093922143936).

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

1089018066240 is a wasteful number, since it uses less digits than its factorization.

1089018066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1089018066240 in words is "one trillion, eighty-nine billion, eighteen million, sixty-six thousand, two hundred forty".