5126326400 has 96 divisors (see below), whose sum is σ = 13637864100. Its totient is φ = 1892782080.

The previous prime is 5126326379. The next prime is 5126326423. The reversal of 5126326400 is 46236215.

It can be written as a sum of positive squares in 6 ways, for example, as 2453022784 + 2673303616 = 49528^2 + 51704^2 .

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, 20015 + ... + 103214.

Almost surely, 2^5126326400 is an apocalyptic number.

5126326400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5126326400 is an abundant number, since it is smaller than the sum of its proper divisors (8511537700).

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

5126326400 is a wasteful number, since it uses less digits than its factorization.

5126326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123266 (or 123249 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 5126326400 is about 71598.3686965003. The cubic root of 5126326400 is about 1724.2573460720.

The spelling of 5126326400 in words is "five billion, one hundred twenty-six million, three hundred twenty-six thousand, four hundred".