5205125523400 has 192 divisors, whose sum is σ = 13610515121280. Its totient is φ = 1834607001600.

The previous prime is 5205125523379. The next prime is 5205125523439. The reversal of 5205125523400 is 43255215025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21286632 + ... + 21529768.

It is an arithmetic number, because the mean of its divisors is an integer number (70888099590).

Almost surely, 2^{5205125523400} is an apocalyptic number.

5205125523400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205125523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805257560640).

5205125523400 is an abundant number, since it is smaller than the sum of its proper divisors (8405389597880).

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

5205125523400 is a wasteful number, since it uses less digits than its factorization.

5205125523400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243464 (or 243455 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 5205125523400 in words is "five trillion, two hundred five billion, one hundred twenty-five million, five hundred twenty-three thousand, four hundred".