550116006100 has 72 divisors (see below), whose sum is σ = 1218939592248. Its totient is φ = 215447500800.

The previous prime is 550116006073. The next prime is 550116006101. The reversal of 550116006100 is 1600611055.

It can be written as a sum of positive squares in 12 ways, for example, as 31491341764 + 518624664336 = 177458^2 + 720156^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550116006101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725070 + ... + 1275130.

It is an arithmetic number, because the mean of its divisors is an integer number (16929716559).

Almost surely, 2^550116006100 is an apocalyptic number.

550116006100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550116006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609469796124).

550116006100 is an abundant number, since it is smaller than the sum of its proper divisors (668823586148).

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

550116006100 is a wasteful number, since it uses less digits than its factorization.

550116006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550285 (or 550278 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 550116006100 its reverse (1600611055), we get a palindrome (551716617155).

The spelling of 550116006100 in words is "five hundred fifty billion, one hundred sixteen million, six thousand, one hundred".