5038126800 has 240 divisors, whose sum is σ = 19529857152. Its totient is φ = 1083801600.

The previous prime is 5038126799. The next prime is 5038126801. The reversal of 5038126800 is 86218305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5038126799) and next prime (5038126801).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5038126801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125160 + ... + 160440.

Almost surely, 2^5038126800 is an apocalyptic number.

5038126800 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 5038126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9764928576).

5038126800 is an abundant number, since it is smaller than the sum of its proper divisors (14491730352).

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

5038126800 is a wasteful number, since it uses less digits than its factorization.

5038126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35326 (or 35315 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 5038126800 is about 70979.7633132148. The cubic root of 5038126800 is about 1714.3113396963.

The spelling of 5038126800 in words is "five billion, thirty-eight million, one hundred twenty-six thousand, eight hundred".