500055610100 has 72 divisors (see below), whose sum is σ = 1122983983800. Its totient is φ = 193048307200.

The previous prime is 500055610057. The next prime is 500055610111. The reversal of 500055610100 is 1016550005.

It can be written as a sum of positive squares in 12 ways, for example, as 41255296996 + 458800313104 = 203114^2 + 677348^2 .

It is a super-2 number, since 2×500055610100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7568006 + ... + 7633794.

It is an arithmetic number, because the mean of its divisors is an integer number (15596999775).

Almost surely, 2^500055610100 is an apocalyptic number.

500055610100 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 500055610100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561491991900).

500055610100 is an abundant number, since it is smaller than the sum of its proper divisors (622928373700).

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

500055610100 is a wasteful number, since it uses less digits than its factorization.

500055610100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68453 (or 68446 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 500055610100 in words is "five hundred billion, fifty-five million, six hundred ten thousand, one hundred".