1085809614400 has 168 divisors, whose sum is σ = 3054211214400. Its totient is φ = 372184995840.

The previous prime is 1085809614397. The next prime is 1085809614427. The reversal of 1085809614400 is 44169085801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57099294 + ... + 57118306.

Almost surely, 2^{1085809614400} is an apocalyptic number.

1085809614400 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 1085809614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527105607200).

1085809614400 is an abundant number, since it is smaller than the sum of its proper divisors (1968401600000).

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

1085809614400 is a wasteful number, since it uses less digits than its factorization.

1085809614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24141 (or 24126 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 1085809614400 in words is "one trillion, eighty-five billion, eight hundred nine million, six hundred fourteen thousand, four hundred".