5031388327680 has 3456 divisors, whose sum is σ = 22679036190720. Its totient is φ = 1051066368000.

The previous prime is 5031388327579. The next prime is 5031388327687. The reversal of 5031388327680 is 867238831305.

5031388327680 is a `hidden beast` number, since 50 + 313 + 8 + 8 + 3 + 276 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 (5031388327687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56532453076 + ... + 56532453164.

It is an arithmetic number, because the mean of its divisors is an integer number (6562221120).

Almost surely, 2^{5031388327680} 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 5031388327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339518095360).

5031388327680 is an abundant number, since it is smaller than the sum of its proper divisors (17647647863040).

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

5031388327680 is a wasteful number, since it uses less digits than its factorization.

5031388327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 5031388327680 in words is "five trillion, thirty-one billion, three hundred eighty-eight million, three hundred twenty-seven thousand, six hundred eighty".