5002916358400 has 243 divisors, whose sum is σ = 12587819672379. Its totient is φ = 1968599900160.

The previous prime is 5002916358383. The next prime is 5002916358439. The reversal of 5002916358400 is 48536192005.

The square root of 5002916358400 is 2236720.

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 27375687936 + 4975540670464 = 165456^2 + 2230592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13062444609 + ... + 13062444991.

Almost surely, 2^{5002916358400} is an apocalyptic number.

5002916358400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5002916358400 is the 2236720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5002916358400

5002916358400 is an abundant number, since it is smaller than the sum of its proper divisors (7584903313979).

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

5002916358400 is an frugal number, since it uses more digits than its factorization.

5002916358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 5002916358400 in words is "five trillion, two billion, nine hundred sixteen million, three hundred fifty-eight thousand, four hundred".