55265311356255 has 1024 divisors, whose sum is σ = 150777859276800. Its totient is φ = 18427383152640.

The previous prime is 55265311356193. The next prime is 55265311356317.

55265311356255 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 5 + 3 + 1 + 1 + 3 + 5 + 625 + 5 = 666.

55265311356255 is nontrivially palindromic in base 10.

55265311356255 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55265311356193) and next prime (55265311356317).

It is not a de Polignac number, because 55265311356255 - 2¹³ = 55265311348063 is a prime.

It is a congruent 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 1023 ways as a sum of consecutive naturals, for example, 1532277732 + ... + 1532313798.

It is an arithmetic number, because the mean of its divisors is an integer number (147244003200).

Almost surely, 2^{55265311356255} is an apocalyptic number.

55265311356255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55265311356255 is an abundant number, since it is smaller than the sum of its proper divisors (95512547920545).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55265311356255 is a wasteful number, since it uses less digits than its factorization.

55265311356255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36181 (or 36175 counting only the distinct ones).

The product of its digits is 20250000, while the sum is 54.

The spelling of 55265311356255 in words is "fifty-five trillion, two hundred sixty-five billion, three hundred eleven million, three hundred fifty-six thousand, two hundred fifty-five".