55000116564100 has 36 divisors (see below), whose sum is σ = 119351339751924. Its totient is φ = 21999846292480.

The previous prime is 55000116564091. The next prime is 55000116564109. The reversal of 55000116564100 is 146561100055.

It is an interprime number because it is at equal distance from previous prime (55000116564091) and next prime (55000116564109).

It can be written as a sum of positive squares in 6 ways, for example, as 422271230976 + 54577845333124 = 649824^2 + 7387682^2 .

It is not an unprimeable number, because it can be changed into a prime (55000116564109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8785704 + ... + 13681696.

It is an arithmetic number, because the mean of its divisors is an integer number (3315314993109).

Almost surely, 2^{55000116564100} is an apocalyptic number.

55000116564100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55000116564100 is an abundant number, since it is smaller than the sum of its proper divisors (64351223187824).

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

55000116564100 is a wasteful number, since it uses less digits than its factorization.

55000116564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008344 (or 5008337 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

Adding to 55000116564100 its reverse (146561100055), we get a palindrome (55146677664155).

The spelling of 55000116564100 in words is "fifty-five trillion, one hundred sixteen million, five hundred sixty-four thousand, one hundred".