5138546688000 has 1380 divisors, whose sum is σ = 21059664982356. Its totient is φ = 1245708288000.

The previous prime is 5138546687891. The next prime is 5138546688007. The reversal of 5138546688000 is 8866458315.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5138546688000 is a `hidden beast` number, since 5 + 1 + 38 + 546 + 68 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164433494016 + 4974113193984 = 405504^2 + 2230272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5138546688007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 467140607995 + ... + 467140608005.

Almost surely, 2^{5138546688000} is an apocalyptic number.

5138546688000 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 5138546688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529832491178).

5138546688000 is an abundant number, since it is smaller than the sum of its proper divisors (15921118294356).

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

5138546688000 is an frugal number, since it uses more digits than its factorization.

5138546688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5138546688000 in words is "five trillion, one hundred thirty-eight billion, five hundred forty-six million, six hundred eighty-eight thousand".