5038512000 has 256 divisors, whose sum is σ = 17160137280. Its totient is φ = 1306828800.

The previous prime is 5038511999. The next prime is 5038512013. The reversal of 5038512000 is 2158305.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1774582 + ... + 1777418.

Almost surely, 2^5038512000 is an apocalyptic number.

5038512000 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 5038512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580068640).

5038512000 is an abundant number, since it is smaller than the sum of its proper divisors (12121625280).

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

5038512000 is a wasteful number, since it uses less digits than its factorization.

5038512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5038512000 is about 70982.4767108052. The cubic root of 5038512000 is about 1714.3550289434.

The spelling of 5038512000 in words is "five billion, thirty-eight million, five hundred twelve thousand".