1093085856000 has 1296 divisors, whose sum is σ = 4367515920768. Its totient is φ = 261955584000.

The previous prime is 1093085855989. The next prime is 1093085856041. The reversal of 1093085856000 is 6585803901.

1093085856000 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 0 + 8 + 585 + 60 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1914335715 + ... + 1914336285.

Almost surely, 2^{1093085856000} is an apocalyptic number.

1093085856000 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 1093085856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183757960384).

1093085856000 is an abundant number, since it is smaller than the sum of its proper divisors (3274430064768).

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

1093085856000 is a wasteful number, since it uses less digits than its factorization.

1093085856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1093085856000 in words is "one trillion, ninety-three billion, eighty-five million, eight hundred fifty-six thousand".