1082096729280 has 1344 divisors, whose sum is σ = 4659782400000. Its totient is φ = 238636855296.

The previous prime is 1082096729269. The next prime is 1082096729281. The reversal of 1082096729280 is 829276902801.

1082096729280 is a `hidden beast` number, since 10 + 8 + 209 + 67 + 292 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1082096729281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 773478021 + ... + 773479419.

It is an arithmetic number, because the mean of its divisors is an integer number (3467100000).

Almost surely, 2^{1082096729280} is an apocalyptic number.

1082096729280 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 1082096729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329891200000).

1082096729280 is an abundant number, since it is smaller than the sum of its proper divisors (3577685670720).

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

1082096729280 is an equidigital number, since it uses as much as digits as its factorization.

1082096729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1082096729280 in words is "one trillion, eighty-two billion, ninety-six million, seven hundred twenty-nine thousand, two hundred eighty".