55350933905355 has 24 divisors (see below), whose sum is σ = 97344452359056. Its totient is φ = 26836816438080.

The previous prime is 55350933905329. The next prime is 55350933905359.

55350933905355 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-55350933905355 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55350933905359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15248189344 + ... + 15248192973.

It is an arithmetic number, because the mean of its divisors is an integer number (4056018848294).

Almost surely, 2^{55350933905355} is an apocalyptic number.

55350933905355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55350933905355 is a deficient number, since it is larger than the sum of its proper divisors (41993518453701).

55350933905355 is a wasteful number, since it uses less digits than its factorization.

55350933905355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30496382347 (or 30496382336 counting only the distinct ones).

The product of its (nonzero) digits is 102515625, while the sum is 60.

The spelling of 55350933905355 in words is "fifty-five trillion, three hundred fifty billion, nine hundred thirty-three million, nine hundred five thousand, three hundred fifty-five".