5138885836800 has 612 divisors, whose sum is σ = 18908024589480. Its totient is φ = 1333190983680.

The previous prime is 5138885836741. The next prime is 5138885836801. The reversal of 5138885836800 is 86385888315.

5138885836800 is a `hidden beast` number, since 513 + 8 + 8 + 8 + 5 + 8 + 36 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5138885836801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 545582491 + ... + 545591909.

Almost surely, 2^{5138885836800} is an apocalyptic number.

5138885836800 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 5138885836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454012294740).

5138885836800 is an abundant number, since it is smaller than the sum of its proper divisors (13769138752680).

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

5138885836800 is an equidigital number, since it uses as much as digits as its factorization.

5138885836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 5138885836800 in words is "five trillion, one hundred thirty-eight billion, eight hundred eighty-five million, eight hundred thirty-six thousand, eight hundred".