1080827665536 has 256 divisors, whose sum is σ = 3002978442240. Its totient is φ = 344112758784.

The previous prime is 1080827665517. The next prime is 1080827665549. The reversal of 1080827665536 is 6355667280801.

1080827665536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231289696 + ... + 231294368.

It is an arithmetic number, because the mean of its divisors is an integer number (11730384540).

Almost surely, 2^{1080827665536} is an apocalyptic number.

1080827665536 is a gapful number since it is divisible by the number (16) 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 1080827665536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501489221120).

1080827665536 is an abundant number, since it is smaller than the sum of its proper divisors (1922150776704).

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

1080827665536 is a wasteful number, since it uses less digits than its factorization.

1080827665536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 1080827665536 in words is "one trillion, eighty billion, eight hundred twenty-seven million, six hundred sixty-five thousand, five hundred thirty-six".