5052006400 has 192 divisors, whose sum is σ = 14334863760. Its totient is φ = 1730150400.

The previous prime is 5052006389. The next prime is 5052006431. The reversal of 5052006400 is 46002505.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5733960 + ... + 5734840.

Almost surely, 2^5052006400 is an apocalyptic number.

5052006400 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 5052006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167431880).

5052006400 is an abundant number, since it is smaller than the sum of its proper divisors (9282857360).

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

5052006400 is an frugal number, since it uses more digits than its factorization.

5052006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5052006400 is about 71077.4675969818. The cubic root of 5052006400 is about 1715.8841556723.

Adding to 5052006400 its reverse (46002505), we get a palindrome (5098008905).

The spelling of 5052006400 in words is "five billion, fifty-two million, six thousand, four hundred".