1082256441552 has 720 divisors, whose sum is σ = 3703713197184. Its totient is φ = 292829644800.

The previous prime is 1082256441481. The next prime is 1082256441587. The reversal of 1082256441552 is 2551446522801.

1082256441552 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 2 + 56 + 4 + 41 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1082256441498 and 1082256441507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2204188027 + ... + 2204188517.

Almost surely, 2^{1082256441552} is an apocalyptic number.

1082256441552 is a gapful number since it is divisible by the number (12) 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 1082256441552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851856598592).

1082256441552 is an abundant number, since it is smaller than the sum of its proper divisors (2621456755632).

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

1082256441552 is a wasteful number, since it uses less digits than its factorization.

1082256441552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 1082256441552 in words is "one trillion, eighty-two billion, two hundred fifty-six million, four hundred forty-one thousand, five hundred fifty-two".