512211144500055 has 192 divisors, whose sum is σ = 1192323311262720. Its totient is φ = 196448364288000.

The previous prime is 512211144500051. The next prime is 512211144500089. The reversal of 512211144500055 is 550005441112215.

512211144500055 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 1 + 1 + 144 + 500 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 512211144500055 - 2² = 512211144500051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 512211144499992 and 512211144500019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512211144500051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 199217931 + ... + 201772659.

It is an arithmetic number, because the mean of its divisors is an integer number (6210017246160).

Almost surely, 2^{512211144500055} is an apocalyptic number.

512211144500055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

512211144500055 is an abundant number, since it is smaller than the sum of its proper divisors (680112166762665).

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

512211144500055 is a wasteful number, since it uses less digits than its factorization.

512211144500055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559222 (or 2559219 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 512211144500055 in words is "five hundred twelve trillion, two hundred eleven billion, one hundred forty-four million, five hundred thousand, fifty-five".