5038132663872 has 2016 divisors, whose sum is σ = 19628766789632. Its totient is φ = 1207084032000.

The previous prime is 5038132663847. The next prime is 5038132663877. The reversal of 5038132663872 is 2783662318305.

It is a happy number.

5038132663872 is a `hidden beast` number, since 503 + 8 + 1 + 3 + 2 + 6 + 63 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (5038132663877) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39670335873 + ... + 39670335999.

Almost surely, 2^{5038132663872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5038132663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814383394816).

5038132663872 is an abundant number, since it is smaller than the sum of its proper divisors (14590634125760).

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

5038132663872 is a wasteful number, since it uses less digits than its factorization.

5038132663872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5038132663872 in words is "five trillion, thirty-eight billion, one hundred thirty-two million, six hundred sixty-three thousand, eight hundred seventy-two".