5138780400 has 480 divisors, whose sum is σ = 20865539520. Its totient is φ = 1189969920.

The previous prime is 5138780371. The next prime is 5138780453. The reversal of 5138780400 is 40878315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2385724 + ... + 2387876.

It is an arithmetic number, because the mean of its divisors is an integer number (43469874).

Almost surely, 2^5138780400 is an apocalyptic number.

5138780400 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 5138780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432769760).

5138780400 is an abundant number, since it is smaller than the sum of its proper divisors (15726759120).

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

5138780400 is a wasteful number, since it uses less digits than its factorization.

5138780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5138780400 is about 71685.2871933983. The cubic root of 5138780400 is about 1725.6525319575.

The spelling of 5138780400 in words is "five billion, one hundred thirty-eight million, seven hundred eighty thousand, four hundred".