55735266253755 has 48 divisors (see below), whose sum is σ = 98029855395360. Its totient is φ = 27020544122880.

The previous prime is 55735266253721. The next prime is 55735266253783.

55735266253755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55735266253755 - 2¹⁶ = 55735266188219 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17338969 + ... + 20300501.

It is an arithmetic number, because the mean of its divisors is an integer number (2042288654070).

Almost surely, 2^{55735266253755} is an apocalyptic number.

55735266253755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55735266253755 is a deficient number, since it is larger than the sum of its proper divisors (42294589141605).

55735266253755 is a wasteful number, since it uses less digits than its factorization.

55735266253755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971932 (or 2971921 counting only the distinct ones).

The product of its digits is 992250000, while the sum is 66.

The spelling of 55735266253755 in words is "fifty-five trillion, seven hundred thirty-five billion, two hundred sixty-six million, two hundred fifty-three thousand, seven hundred fifty-five".