5004571668100 has 81 divisors (see below), whose sum is σ = 10908144276141. Its totient is φ = 1992978739200.

The previous prime is 5004571668097. The next prime is 5004571668127. The reversal of 5004571668100 is 18661754005.

The square root of 5004571668100 is 2237090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 229262846596 + 4775308821504 = 478814^2 + 2185248^2 .

It is a super-2 number, since 2×5004571668100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 7807443780 + ... + 7807444420.

Almost surely, 2^{5004571668100} is an apocalyptic number.

5004571668100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5004571668100 is the 2237090-th square number.

It is an amenable number.

5004571668100 is an abundant number, since it is smaller than the sum of its proper divisors (5903572608041).

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

5004571668100 is an frugal number, since it uses more digits than its factorization.

5004571668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 5004571668100 in words is "five trillion, four billion, five hundred seventy-one million, six hundred sixty-eight thousand, one hundred".