5138918400 has 792 divisors, whose sum is σ = 21605839360. Its totient is φ = 1054310400.

The previous prime is 5138918399. The next prime is 5138918417. The reversal of 5138918400 is 48198315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65049561 + ... + 65049639.

Almost surely, 2^5138918400 is an apocalyptic number.

5138918400 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 5138918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802919680).

5138918400 is an abundant number, since it is smaller than the sum of its proper divisors (16466920960).

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

5138918400 is a wasteful number, since it uses less digits than its factorization.

5138918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 5138918400 is about 71686.2497275454. The cubic root of 5138918400 is about 1725.6679790674.

The spelling of 5138918400 in words is "five billion, one hundred thirty-eight million, nine hundred eighteen thousand, four hundred".