1082783116800 has 2520 divisors, whose sum is σ = 5089536155088. Its totient is φ = 223351603200.

The previous prime is 1082783116799. The next prime is 1082783116801. The reversal of 1082783116800 is 86113872801.

It is a happy number.

1082783116800 is a `hidden beast` number, since 1 + 0 + 8 + 278 + 311 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1082783116799) and next prime (1082783116801).

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082783116801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 7903526332 + ... + 7903526468.

Almost surely, 2^{1082783116800} is an apocalyptic number.

1082783116800 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 1082783116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544768077544).

1082783116800 is an abundant number, since it is smaller than the sum of its proper divisors (4006753038288).

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

1082783116800 is an equidigital number, since it uses as much as digits as its factorization.

1082783116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1082783116800 in words is "one trillion, eighty-two billion, seven hundred eighty-three million, one hundred sixteen thousand, eight hundred".