55506100610500 has 24 divisors (see below), whose sum is σ = 121225323734424. Its totient is φ = 22202440244000.

The previous prime is 55506100610423. The next prime is 55506100610503. The reversal of 55506100610500 is 501600160555.

55506100610500 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 4 ways, for example, as 3370653652356 + 52135446958144 = 1835934^2 + 7220488^2 .

It is not an unprimeable number, because it can be changed into a prime (55506100610503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55506100111 + ... + 55506101110.

It is an arithmetic number, because the mean of its divisors is an integer number (5051055155601).

Almost surely, 2^{55506100610500} is an apocalyptic number.

55506100610500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55506100610500 is an abundant number, since it is smaller than the sum of its proper divisors (65719223123924).

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

55506100610500 is a wasteful number, since it uses less digits than its factorization.

55506100610500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111012201240 (or 111012201228 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 55506100610500 in words is "fifty-five trillion, five hundred six billion, one hundred million, six hundred ten thousand, five hundred".