5981694301440 has 1728 divisors, whose sum is σ = 25918898503680. Its totient is φ = 1252747837440.

The previous prime is 5981694301433. The next prime is 5981694301501. The reversal of 5981694301440 is 441034961895.

5981694301440 is a `hidden beast` number, since 5 + 9 + 8 + 1 + 69 + 430 + 144 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1780794481 + ... + 1780797839.

It is an arithmetic number, because the mean of its divisors is an integer number (14999362560).

Almost surely, 2^{5981694301440} 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 5981694301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959449251840).

5981694301440 is an abundant number, since it is smaller than the sum of its proper divisors (19937204202240).

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

5981694301440 is a wasteful number, since it uses less digits than its factorization.

5981694301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 5981694301440 in words is "five trillion, nine hundred eighty-one billion, six hundred ninety-four million, three hundred one thousand, four hundred forty".