5205124324400 has 720 divisors, whose sum is σ = 17086508101824. Its totient is φ = 1482624000000.

The previous prime is 5205124324363. The next prime is 5205124324403. The reversal of 5205124324400 is 44234215025.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5205124324403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 444838550 + ... + 444850250.

Almost surely, 2^{5205124324400} is an apocalyptic number.

5205124324400 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 5205124324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8543254050912).

5205124324400 is an abundant number, since it is smaller than the sum of its proper divisors (11881383777424).

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

5205124324400 is a wasteful number, since it uses less digits than its factorization.

5205124324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11862 (or 11840 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 5205124324400 its reverse (44234215025), we get a palindrome (5249358539425).

The spelling of 5205124324400 in words is "five trillion, two hundred five billion, one hundred twenty-four million, three hundred twenty-four thousand, four hundred".