1150005055661 has 16 divisors (see below), whose sum is σ = 1439063236608. Its totient is φ = 892801148400.

The previous prime is 1150005055637. The next prime is 1150005055669. The reversal of 1150005055661 is 1665505000511.

It is not a de Polignac number, because 1150005055661 - 2³⁸ = 875127148717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150005055669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27534725 + ... + 27576458.

It is an arithmetic number, because the mean of its divisors is an integer number (89941452288).

Almost surely, 2^{1150005055661} is an apocalyptic number.

1150005055661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1150005055661 is a deficient number, since it is larger than the sum of its proper divisors (289058180947).

1150005055661 is a wasteful number, since it uses less digits than its factorization.

1150005055661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55111472.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 1150005055661 in words is "one trillion, one hundred fifty billion, five million, fifty-five thousand, six hundred sixty-one".