5339210400 has 432 divisors, whose sum is σ = 20128196088. Its totient is φ = 1327104000.

The previous prime is 5339210399. The next prime is 5339210419. The reversal of 5339210400 is 40129335.

5339210400 = T₉₉ + T₁₀₀ + ... + T₃₁₇₅.

5339210400 is a `hidden beast` number, since 533 + 92 + 1 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 191434896 + 5147775504 = 13836^2 + 71748^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22154280 + ... + 22154520.

Almost surely, 2^5339210400 is an apocalyptic number.

5339210400 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 5339210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064098044).

5339210400 is an abundant number, since it is smaller than the sum of its proper divisors (14788985688).

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

5339210400 is a wasteful number, since it uses less digits than its factorization.

5339210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5339210400 is about 73069.9007800065. The cubic root of 5339210400 is about 1747.8024552159.

Adding to 5339210400 its reverse (40129335), we get a palindrome (5379339735).

The spelling of 5339210400 in words is "five billion, three hundred thirty-nine million, two hundred ten thousand, four hundred".