5210202400 has 216 divisors, whose sum is σ = 13960004940. Its totient is φ = 1897758720.

The previous prime is 5210202373. The next prime is 5210202433. The reversal of 5210202400 is 42020125.

It can be written as a sum of positive squares in 18 ways, for example, as 3299813136 + 1910389264 = 57444^2 + 43708^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12032584 + ... + 12033016.

Almost surely, 2^5210202400 is an apocalyptic number.

5210202400 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 5210202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980002470).

5210202400 is an abundant number, since it is smaller than the sum of its proper divisors (8749802540).

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

5210202400 is a wasteful number, since it uses less digits than its factorization.

5210202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 5210202400 is about 72181.7317608825. The cubic root of 5210202400 is about 1733.6105112296.

Adding to 5210202400 its reverse (42020125), we get a palindrome (5252222525).

The spelling of 5210202400 in words is "five billion, two hundred ten million, two hundred two thousand, four hundred".