55735584090505 has 12 divisors (see below), whose sum is σ = 73515696040836. Its totient is φ = 40534970247200.

The previous prime is 55735584090467. The next prime is 55735584090539. The reversal of 55735584090505 is 50509048553755.

55735584090505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34987449770361 + 20748134320144 = 5915019^2 + 4555012^2 .

It is a de Polignac number, because none of the positive numbers 2^k-55735584090505 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46062465586 + ... + 46062466795.

It is an arithmetic number, because the mean of its divisors is an integer number (6126308003403).

Almost surely, 2^{55735584090505} is an apocalyptic number.

55735584090505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55735584090505 is a deficient number, since it is larger than the sum of its proper divisors (17780111950331).

55735584090505 is a wasteful number, since it uses less digits than its factorization.

55735584090505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92124932408 (or 92124932397 counting only the distinct ones).

The product of its (nonzero) digits is 94500000, while the sum is 61.

The spelling of 55735584090505 in words is "fifty-five trillion, seven hundred thirty-five billion, five hundred eighty-four million, ninety thousand, five hundred five".