5210032400 has 60 divisors (see below), whose sum is σ = 12539573904. Its totient is φ = 2080272000.

The previous prime is 5210032397. The next prime is 5210032409. The reversal of 5210032400 is 42300125.

It is not an unprimeable number, because it can be changed into a prime (5210032409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216995 + ... + 239805.

Almost surely, 2^5210032400 is an apocalyptic number.

5210032400 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 5210032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269786952).

5210032400 is an abundant number, since it is smaller than the sum of its proper divisors (7329541504).

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

5210032400 is a wasteful number, since it uses less digits than its factorization.

5210032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23400 (or 23389 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5210032400 is about 72180.5541680029. The cubic root of 5210032400 is about 1733.5916561084.

Adding to 5210032400 its reverse (42300125), we get a palindrome (5252332525).

The spelling of 5210032400 in words is "five billion, two hundred ten million, thirty-two thousand, four hundred".