1080055112049 has 63 divisors (see below), whose sum is σ = 1648936873467. Its totient is φ = 707110462800.

The previous prime is 1080055112029. The next prime is 1080055112131. The reversal of 1080055112049 is 9402115500801.

The square root of 1080055112049 is 1039257.

It is a perfect power (a square), and thus also a powerful number.

1080055112049 is a `hidden beast` number, since 1 + 0 + 80 + 0 + 5 + 511 + 20 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35121383649 + 1044933728400 = 187407^2 + 1022220^2 .

It is not a de Polignac number, because 1080055112049 - 2⁹ = 1080055111537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1080055112029) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1711655964 + ... + 1711656594.

Almost surely, 2^{1080055112049} is an apocalyptic number.

1080055112049 is the 1039257-th square number.

1080055112049 is the 519629-th centered octagonal number.

It is an amenable number.

1080055112049 is a deficient number, since it is larger than the sum of its proper divisors (568881761418).

1080055112049 is an frugal number, since it uses more digits than its factorization.

1080055112049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Multiplying 1080055112049 by its sum of digits (36), we get a square (38881984033764 = 6235542²).

The spelling of 1080055112049 in words is "one trillion, eighty billion, fifty-five million, one hundred twelve thousand, forty-nine".