5438524800 has 192 divisors, whose sum is σ = 18692732160. Its totient is φ = 1387161600.

The previous prime is 5438524799. The next prime is 5438524801. The reversal of 5438524800 is 84258345.

It is an interprime number because it is at equal distance from previous prime (5438524799) and next prime (5438524801).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438524801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 208485 + ... + 233115.

It is an arithmetic number, because the mean of its divisors is an integer number (97357980).

Almost surely, 2^5438524800 is an apocalyptic number.

5438524800 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 5438524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9346366080).

5438524800 is an abundant number, since it is smaller than the sum of its proper divisors (13254207360).

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

5438524800 is a wasteful number, since it uses less digits than its factorization.

5438524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24681 (or 24664 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 5438524800 is about 73746.3544861710. The cubic root of 5438524800 is about 1758.5728789240.

The spelling of 5438524800 in words is "five billion, four hundred thirty-eight million, five hundred twenty-four thousand, eight hundred".