1086844089600 has 864 divisors, whose sum is σ = 4180655337600. Its totient is φ = 275904921600.

The previous prime is 1086844089593. The next prime is 1086844089601. The reversal of 1086844089600 is 69804486801.

1086844089600 is a `hidden beast` number, since 1 + 0 + 8 + 68 + 440 + 89 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086844089601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 365816115 + ... + 365819085.

Almost surely, 2^{1086844089600} is an apocalyptic number.

1086844089600 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 1086844089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090327668800).

1086844089600 is an abundant number, since it is smaller than the sum of its proper divisors (3093811248000).

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

1086844089600 is a wasteful number, since it uses less digits than its factorization.

1086844089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1086844089600 in words is "one trillion, eighty-six billion, eight hundred forty-four million, eighty-nine thousand, six hundred".