5431968984512 has 672 divisors, whose sum is σ = 14710574592000. Its totient is φ = 1970676449280.

The previous prime is 5431968984487. The next prime is 5431968984517. The reversal of 5431968984512 is 2154898691345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431968984517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1232016164 + ... + 1232020572.

It is an arithmetic number, because the mean of its divisors is an integer number (21890736000).

Almost surely, 2^{5431968984512} 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 5431968984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355287296000).

5431968984512 is an abundant number, since it is smaller than the sum of its proper divisors (9278605607488).

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

5431968984512 is a wasteful number, since it uses less digits than its factorization.

5431968984512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4520 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 65.

The spelling of 5431968984512 in words is "five trillion, four hundred thirty-one billion, nine hundred sixty-eight million, nine hundred eighty-four thousand, five hundred twelve".