1089581856840 has 192 divisors, whose sum is σ = 3641637832560. Its totient is φ = 282364477440.

The previous prime is 1089581856809. The next prime is 1089581856931. The reversal of 1089581856840 is 486581859801.

1089581856840 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 58 + 18 + 568 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 765768506724 + 323813350116 = 875082^2 + 569046^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3649702 + ... + 3936938.

Almost surely, 2^{1089581856840} is an apocalyptic number.

1089581856840 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 1089581856840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820818916280).

1089581856840 is an abundant number, since it is smaller than the sum of its proper divisors (2552055975720).

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

1089581856840 is a wasteful number, since it uses less digits than its factorization.

1089581856840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287552 (or 287545 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 1089581856840 in words is "one trillion, eighty-nine billion, five hundred eighty-one million, eight hundred fifty-six thousand, eight hundred forty".