5200370106624 has 729 divisors, whose sum is σ = 19202842821981. Its totient is φ = 1348556267520.

The previous prime is 5200370106557. The next prime is 5200370106629. The reversal of 5200370106624 is 4266010730025.

The square root of 5200370106624 is 2280432.

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

5200370106624 is a `hidden beast` number, since 5 + 20 + 0 + 3 + 7 + 0 + 1 + 0 + 6 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150606086400 + 5049764020224 = 388080^2 + 2247168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5200370106629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8428476364 + ... + 8428476980.

Almost surely, 2^{5200370106624} is an apocalyptic number.

5200370106624 is the 2280432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200370106624

5200370106624 is an abundant number, since it is smaller than the sum of its proper divisors (14002472715357).

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

5200370106624 is an equidigital number, since it uses as much as digits as its factorization.

5200370106624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 5200370106624 by its sum of digits (36), we get a square (187213323838464 = 13682592²).

5200370106624 divided by its sum of digits (36) gives a square (144454725184 = 380072²).

Adding to 5200370106624 its reverse (4266010730025), we get a palindrome (9466380836649).

The spelling of 5200370106624 in words is "five trillion, two hundred billion, three hundred seventy million, one hundred six thousand, six hundred twenty-four".