1084349851200 has 3780 divisors, whose sum is σ = 5462413075152. Its totient is φ = 208496332800.

The previous prime is 1084349851159. The next prime is 1084349851217. The reversal of 1084349851200 is 21589434801.

1084349851200 is a `hidden beast` number, since 1 + 0 + 8 + 43 + 4 + 98 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

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 539 ways as a sum of consecutive naturals, for example, 25217438379 + ... + 25217438421.

Almost surely, 2^{1084349851200} is an apocalyptic number.

1084349851200 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 1084349851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731206537576).

1084349851200 is an abundant number, since it is smaller than the sum of its proper divisors (4378063223952).

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

1084349851200 is a wasteful number, since it uses less digits than its factorization.

1084349851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1084349851200 in words is "one trillion, eighty-four billion, three hundred forty-nine million, eight hundred fifty-one thousand, two hundred".