5385462835600 has 405 divisors, whose sum is σ = 14182087553091. Its totient is φ = 1964949235200.

The previous prime is 5385462835589. The next prime is 5385462835661. The reversal of 5385462835600 is 65382645835.

It is a happy number.

The square root of 5385462835600 is 2320660.

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 1241860614544 + 4143602221056 = 1114388^2 + 2035584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27337374702 + ... + 27337374898.

Almost surely, 2^{5385462835600} is an apocalyptic number.

5385462835600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5385462835600 is the 2320660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5385462835600

5385462835600 is an abundant number, since it is smaller than the sum of its proper divisors (8796624717491).

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

5385462835600 is a wasteful number, since it uses less digits than its factorization.

5385462835600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 55.

The spelling of 5385462835600 in words is "five trillion, three hundred eighty-five billion, four hundred sixty-two million, eight hundred thirty-five thousand, six hundred".