1082457604800 has 1344 divisors, whose sum is σ = 4673300889600. Its totient is φ = 240272179200.

The previous prime is 1082457604741. The next prime is 1082457604841. The reversal of 1082457604800 is 84067542801.

1082457604800 is a `hidden beast` number, since 10 + 8 + 24 + 5 + 7 + 604 + 8 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 846330561 + ... + 846331839.

It is an arithmetic number, because the mean of its divisors is an integer number (3477158400).

Almost surely, 2^{1082457604800} is an apocalyptic number.

1082457604800 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 1082457604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336650444800).

1082457604800 is an abundant number, since it is smaller than the sum of its proper divisors (3590843284800).

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

1082457604800 is a wasteful number, since it uses less digits than its factorization.

1082457604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1082457604800 in words is "one trillion, eighty-two billion, four hundred fifty-seven million, six hundred four thousand, eight hundred".