1084873420800 has 1872 divisors, whose sum is σ = 4542983897088. Its totient is φ = 245248819200.

The previous prime is 1084873420793. The next prime is 1084873420847. The reversal of 1084873420800 is 80243784801.

1084873420800 is a `hidden beast` number, since 1 + 0 + 84 + 8 + 73 + 420 + 80 + 0 = 666.

1084873420800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8542310337 + ... + 8542310463.

Almost surely, 2^{1084873420800} is an apocalyptic number.

1084873420800 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 1084873420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271491948544).

1084873420800 is an abundant number, since it is smaller than the sum of its proper divisors (3458110476288).

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

1084873420800 is a wasteful number, since it uses less digits than its factorization.

1084873420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1084873420800 in words is "one trillion, eighty-four billion, eight hundred seventy-three million, four hundred twenty thousand, eight hundred".