1084958085120 has 832 divisors, whose sum is σ = 4377677197824. Its totient is φ = 223283773440.

The previous prime is 1084958085103. The next prime is 1084958085149. The reversal of 1084958085120 is 215808594801.

It is a tau number, because it is divible by the number of its divisors (832).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229230274 + ... + 229235006.

Almost surely, 2^{1084958085120} is an apocalyptic number.

1084958085120 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 1084958085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188838598912).

1084958085120 is an abundant number, since it is smaller than the sum of its proper divisors (3292719112704).

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

1084958085120 is a wasteful number, since it uses less digits than its factorization.

1084958085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 51.

The spelling of 1084958085120 in words is "one trillion, eighty-four billion, nine hundred fifty-eight million, eighty-five thousand, one hundred twenty".