5981957206416 has 75 divisors (see below), whose sum is σ = 17313774504411. Its totient is φ = 1993956385824.

The previous prime is 5981957206363. The next prime is 5981957206417. The reversal of 5981957206416 is 6146027591895.

The square root of 5981957206416 is 2445804.

It is a perfect power (a square), and thus also a powerful number.

5981957206416 is a `hidden beast` number, since 5 + 9 + 8 + 1 + 9 + 5 + 7 + 206 + 416 = 666.

It is not an unprimeable number, because it can be changed into a prime (5981957206417) 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 14 ways as a sum of consecutive naturals, for example, 88014975 + ... + 88082913.

Almost surely, 2^{5981957206416} is an apocalyptic number.

5981957206416 is the 2445804-th square number.

It is an amenable number.

5981957206416 is an abundant number, since it is smaller than the sum of its proper divisors (11331817297995).

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

5981957206416 is an frugal number, since it uses more digits than its factorization.

5981957206416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135898 (or 67944 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 5981957206416 in words is "five trillion, nine hundred eighty-one billion, nine hundred fifty-seven million, two hundred six thousand, four hundred sixteen".