5006431317888 has 4032 divisors, whose sum is σ = 22327880947200. Its totient is φ = 1100484403200.

The previous prime is 5006431317871. The next prime is 5006431317889. The reversal of 5006431317888 is 8887131346005.

It is a happy number.

5006431317888 is a `hidden beast` number, since 500 + 6 + 4 + 31 + 31 + 78 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 (5006431317889) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 161497784433 + ... + 161497784463.

Almost surely, 2^{5006431317888} 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 5006431317888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163940473600).

5006431317888 is an abundant number, since it is smaller than the sum of its proper divisors (17321449629312).

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

5006431317888 is a wasteful number, since it uses less digits than its factorization.

5006431317888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 5006431317888 in words is "five trillion, six billion, four hundred thirty-one million, three hundred seventeen thousand, eight hundred eighty-eight".