5009270659600 has 135 divisors (see below), whose sum is σ = 12301446321511. Its totient is φ = 1960252537600.

The previous prime is 5009270659583. The next prime is 5009270659619. The reversal of 5009270659600 is 69560729005.

The square root of 5009270659600 is 2238140.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3065454712336 + 1943815947264 = 1750844^2 + 1394208^2 .

It is a super-2 number, since 2×5009270659600² (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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2103850410 + ... + 2103852790.

Almost surely, 2^{5009270659600} is an apocalyptic number.

5009270659600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5009270659600 is the 2238140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5009270659600

5009270659600 is an abundant number, since it is smaller than the sum of its proper divisors (7292175661911).

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

5009270659600 is an frugal number, since it uses more digits than its factorization.

5009270659600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

Multiplying 5009270659600 by its sum of digits (49), we get a square (245454262320400 = 15666980²).

The spelling of 5009270659600 in words is "five trillion, nine billion, two hundred seventy million, six hundred fifty-nine thousand, six hundred".