5152806400 has 240 divisors, whose sum is σ = 14735128320. Its totient is φ = 1749196800.

The previous prime is 5152806361. The next prime is 5152806409. The reversal of 5152806400 is 46082515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5152806409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11737381 + ... + 11737819.

It is an arithmetic number, because the mean of its divisors is an integer number (61396368).

Almost surely, 2^5152806400 is an apocalyptic number.

5152806400 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 5152806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367564160).

5152806400 is an abundant number, since it is smaller than the sum of its proper divisors (9582321920).

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

5152806400 is a wasteful number, since it uses less digits than its factorization.

5152806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 5152806400 is about 71783.0509242955. The cubic root of 5152806400 is about 1727.2211281824.

Adding to 5152806400 its reverse (46082515), we get a palindrome (5198888915).

The spelling of 5152806400 in words is "five billion, one hundred fifty-two million, eight hundred six thousand, four hundred".