5006110100600 has 96 divisors (see below), whose sum is σ = 13731044966400. Its totient is φ = 1661013475200.

The previous prime is 5006110100573. The next prime is 5006110100609. The reversal of 5006110100600 is 60010116005.

It is a happy number.

It is a super-2 number, since 2×5006110100600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006110100609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57630680 + ... + 57717479.

It is an arithmetic number, because the mean of its divisors is an integer number (143031718400).

Almost surely, 2^{5006110100600} is an apocalyptic number.

5006110100600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5006110100600 is an abundant number, since it is smaller than the sum of its proper divisors (8724934865800).

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

5006110100600 is a wasteful number, since it uses less digits than its factorization.

5006110100600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115348213 (or 115348204 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 5006110100600 its reverse (60010116005), we get a palindrome (5066120216605).

The spelling of 5006110100600 in words is "five trillion, six billion, one hundred ten million, one hundred thousand, six hundred".