5200540400 has 120 divisors (see below), whose sum is σ = 13947631104. Its totient is φ = 1847059200.

The previous prime is 5200540393. The next prime is 5200540403. The reversal of 5200540400 is 40450025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200540403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175457 + ... + 202943.

Almost surely, 2^5200540400 is an apocalyptic number.

5200540400 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 5200540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973815552).

5200540400 is an abundant number, since it is smaller than the sum of its proper divisors (8747090704).

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

5200540400 is a wasteful number, since it uses less digits than its factorization.

5200540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27559 (or 27548 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 5200540400 is about 72114.7724117604. The cubic root of 5200540400 is about 1732.5382234251.

Adding to 5200540400 its reverse (40450025), we get a palindrome (5240990425).

The spelling of 5200540400 in words is "five billion, two hundred million, five hundred forty thousand, four hundred".