5820397502500 has 405 divisors, whose sum is σ = 15187184803791. Its totient is φ = 1945480320000.

The previous prime is 5820397502467. The next prime is 5820397502519. The reversal of 5820397502500 is 52057930285.

The square root of 5820397502500 is 2412550.

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

It can be written as a sum of positive squares in 22 ways, for example, as 5470377444 + 5814927125056 = 73962^2 + 2411416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 51507942444 + ... + 51507942556.

Almost surely, 2^{5820397502500} is an apocalyptic number.

5820397502500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5820397502500 is the 2412550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820397502500

5820397502500 is an abundant number, since it is smaller than the sum of its proper divisors (9366787301291).

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

5820397502500 is an equidigital number, since it uses as much as digits as its factorization.

5820397502500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 5820397502500 in words is "five trillion, eight hundred twenty billion, three hundred ninety-seven million, five hundred two thousand, five hundred".