5200406593600 has 189 divisors, whose sum is σ = 13085091274647. Its totient is φ = 2034225454080.

The previous prime is 5200406593559. The next prime is 5200406593601. The reversal of 5200406593600 is 63956040025.

The square root of 5200406593600 is 2280440.

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 2281283993664 + 2919122599936 = 1510392^2 + 1708544^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5200406593601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4287226594 + ... + 4287227806.

Almost surely, 2^{5200406593600} is an apocalyptic number.

5200406593600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5200406593600 is the 2280440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200406593600

5200406593600 is an abundant number, since it is smaller than the sum of its proper divisors (7884684681047).

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

5200406593600 is an frugal number, since it uses more digits than its factorization.

5200406593600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 5200406593600 in words is "five trillion, two hundred billion, four hundred six million, five hundred ninety-three thousand, six hundred".