5013438000 has 160 divisors (see below), whose sum is σ = 16325330112. Its totient is φ = 1323520000.

The previous prime is 5013437993. The next prime is 5013438043. The reversal of 5013438000 is 8343105.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601864 + ... + 610136.

Almost surely, 2^5013438000 is an apocalyptic number.

5013438000 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 5013438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8162665056).

5013438000 is an abundant number, since it is smaller than the sum of its proper divisors (11311892112).

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

5013438000 is a wasteful number, since it uses less digits than its factorization.

5013438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8400 (or 8384 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5013438000 is about 70805.6353689450. The cubic root of 5013438000 is about 1711.5064867861.

The spelling of 5013438000 in words is "five billion, thirteen million, four hundred thirty-eight thousand".