5981170121472 has 576 divisors, whose sum is σ = 20304851374080. Its totient is φ = 1520270180352.

The previous prime is 5981170121471. The next prime is 5981170121519. The reversal of 5981170121472 is 2741210711895.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5981170121471) 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 63 ways as a sum of consecutive naturals, for example, 1250503593 + ... + 1250508375.

It is an arithmetic number, because the mean of its divisors is an integer number (35251478080).

Almost surely, 2^{5981170121472} is an apocalyptic number.

5981170121472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5981170121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152425687040).

5981170121472 is an abundant number, since it is smaller than the sum of its proper divisors (14323681252608).

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

5981170121472 is a wasteful number, since it uses less digits than its factorization.

5981170121472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 48.

The spelling of 5981170121472 in words is "five trillion, nine hundred eighty-one billion, one hundred seventy million, one hundred twenty-one thousand, four hundred seventy-two".