1085405184000 has 840 divisors, whose sum is σ = 4067361943008. Its totient is φ = 289043251200.

The previous prime is 1085405183999. The next prime is 1085405184007. The reversal of 1085405184000 is 4815045801.

1085405184000 is a `hidden beast` number, since 108 + 540 + 5 + 1 + 8 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1085405184007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1492991637 + ... + 1492992363.

Almost surely, 2^{1085405184000} is an apocalyptic number.

1085405184000 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 1085405184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033680971504).

1085405184000 is an abundant number, since it is smaller than the sum of its proper divisors (2981956759008).

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

1085405184000 is an frugal number, since it uses more digits than its factorization.

1085405184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 1085405184000 in words is "one trillion, eighty-five billion, four hundred five million, one hundred eighty-four thousand".