5131581590680 has 128 divisors (see below), whose sum is σ = 11951945280000. Its totient is φ = 1981602653184.

The previous prime is 5131581590669. The next prime is 5131581590683. The reversal of 5131581590680 is 860951851315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5131581590683) 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 31 ways as a sum of consecutive naturals, for example, 544807011 + ... + 544816429.

It is an arithmetic number, because the mean of its divisors is an integer number (93374572500).

Almost surely, 2^{5131581590680} 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 5131581590680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975972640000).

5131581590680 is an abundant number, since it is smaller than the sum of its proper divisors (6820363689320).

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

5131581590680 is a wasteful number, since it uses less digits than its factorization.

5131581590680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121 (or 13117 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 52.

The spelling of 5131581590680 in words is "five trillion, one hundred thirty-one billion, five hundred eighty-one million, five hundred ninety thousand, six hundred eighty".