1089200609280 has 288 divisors, whose sum is σ = 4314258093600. Its totient is φ = 248959991808.

The previous prime is 1089200609251. The next prime is 1089200609297. The reversal of 1089200609280 is 829060029801.

1089200609280 is a `hidden beast` number, since 10 + 8 + 9 + 2 + 0 + 0 + 609 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199065 + ... + 1489304.

It is an arithmetic number, because the mean of its divisors is an integer number (14980062825).

Almost surely, 2^{1089200609280} is an apocalyptic number.

1089200609280 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 1089200609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157129046800).

1089200609280 is an abundant number, since it is smaller than the sum of its proper divisors (3225057484320).

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

1089200609280 is a wasteful number, since it uses less digits than its factorization.

1089200609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688409 (or 1688386 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1089200609280 in words is "one trillion, eighty-nine billion, two hundred million, six hundred nine thousand, two hundred eighty".