5810126400 has 504 divisors, whose sum is σ = 22811576424. Its totient is φ = 1393459200.

The previous prime is 5810126389. The next prime is 5810126407. The reversal of 5810126400 is 46210185.

5810126400 is a `hidden beast` number, since 5 + 8 + 1 + 0 + 12 + 640 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3857900544 + 1952225856 = 62112^2 + 44184^2 .

It is not an unprimeable number, because it can be changed into a prime (5810126407) by changing a digit.

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, 7674822 + ... + 7675578.

Almost surely, 2^5810126400 is an apocalyptic number.

5810126400 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 5810126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405788212).

5810126400 is an abundant number, since it is smaller than the sum of its proper divisors (17001450024).

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

5810126400 is a wasteful number, since it uses less digits than its factorization.

5810126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5810126400 is about 76224.1851383142. The cubic root of 5810126400 is about 1797.7468103267.

Adding to 5810126400 its reverse (46210185), we get a palindrome (5856336585).

The spelling of 5810126400 in words is "five billion, eight hundred ten million, one hundred twenty-six thousand, four hundred".