1089114808320 has 2688 divisors, whose sum is σ = 5202439736832. Its totient is φ = 203843174400.

The previous prime is 1089114808307. The next prime is 1089114808349. The reversal of 1089114808320 is 238084119801.

1089114808320 is a `hidden beast` number, since 1 + 0 + 8 + 91 + 1 + 480 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17854341090 + ... + 17854341150.

Almost surely, 2^{1089114808320} is an apocalyptic number.

1089114808320 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 1089114808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601219868416).

1089114808320 is an abundant number, since it is smaller than the sum of its proper divisors (4113324928512).

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

1089114808320 is a wasteful number, since it uses less digits than its factorization.

1089114808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1089114808320 in words is "one trillion, eighty-nine billion, one hundred fourteen million, eight hundred eight thousand, three hundred twenty".