5438997600 has 288 divisors, whose sum is σ = 18291329280. Its totient is φ = 1403136000.

The previous prime is 5438997593. The next prime is 5438997643. The reversal of 5438997600 is 67998345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10053330 + ... + 10053870.

It is an arithmetic number, because the mean of its divisors is an integer number (63511560).

Almost surely, 2^5438997600 is an apocalyptic number.

5438997600 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 5438997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145664640).

5438997600 is an abundant number, since it is smaller than the sum of its proper divisors (12852331680).

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

5438997600 is a wasteful number, since it uses less digits than its factorization.

5438997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 5438997600 is about 73749.5599986874. The cubic root of 5438997600 is about 1758.6238381574.

The spelling of 5438997600 in words is "five billion, four hundred thirty-eight million, nine hundred ninety-seven thousand, six hundred".