5258491059600 has 135 divisors (see below), whose sum is σ = 18248902151233. Its totient is φ = 1402227592320.

The previous prime is 5258491059583. The next prime is 5258491059643. The reversal of 5258491059600 is 69501948525.

The square root of 5258491059600 is 2293140.

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

5258491059600 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 49 + 1 + 0 + 596 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1893056781456 + 3365434278144 = 1375884^2 + 1834512^2 .

It is a Duffinian number.

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, 137569291 + ... + 137607509.

Almost surely, 2^{5258491059600} is an apocalyptic number.

5258491059600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5258491059600 is the 2293140-th square number.

It is an amenable number.

5258491059600 is an abundant number, since it is smaller than the sum of its proper divisors (12990411091633).

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

5258491059600 is an frugal number, since it uses more digits than its factorization.

5258491059600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76462 (or 38229 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 5258491059600 in words is "five trillion, two hundred fifty-eight billion, four hundred ninety-one million, fifty-nine thousand, six hundred".