5238010368900 has 81 divisors (see below), whose sum is σ = 16418467714831. Its totient is φ = 1396784455680.

The previous prime is 5238010368853. The next prime is 5238010368917. The reversal of 5238010368900 is 98630108325.

It is a happy number.

The square root of 5238010368900 is 2288670.

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

5238010368900 is a `hidden beast` number, since 523 + 8 + 0 + 1 + 0 + 36 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1944133839684 + 3293876529216 = 1394322^2 + 1814904^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 68621956 + ... + 68698244.

Almost surely, 2^{5238010368900} is an apocalyptic number.

5238010368900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5238010368900 is the 2288670-th square number.

It is an amenable number.

5238010368900 is an abundant number, since it is smaller than the sum of its proper divisors (11180457345931).

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

5238010368900 is an frugal number, since it uses more digits than its factorization.

5238010368900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152598 (or 76299 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 5238010368900 in words is "five trillion, two hundred thirty-eight billion, ten million, three hundred sixty-eight thousand, nine hundred".