1082725816320 has 768 divisors, whose sum is σ = 4104172800000. Its totient is φ = 269964804096.

The previous prime is 1082725816307. The next prime is 1082725816327. The reversal of 1082725816320 is 236185272801.

1082725816320 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 7 + 2 + 5 + 8 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (1082725816327) 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 63 ways as a sum of consecutive naturals, for example, 414995176 + ... + 414997784.

It is an arithmetic number, because the mean of its divisors is an integer number (5343975000).

Almost surely, 2^{1082725816320} is an apocalyptic number.

1082725816320 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 1082725816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052086400000).

1082725816320 is an abundant number, since it is smaller than the sum of its proper divisors (3021446983680).

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

1082725816320 is a wasteful number, since it uses less digits than its factorization.

1082725816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1082725816320 in words is "one trillion, eighty-two billion, seven hundred twenty-five million, eight hundred sixteen thousand, three hundred twenty".