5981352686400 has 672 divisors, whose sum is σ = 24207698608128. Its totient is φ = 1259110195200.

The previous prime is 5981352686389. The next prime is 5981352686423. The reversal of 5981352686400 is 46862531895.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 193486945 + ... + 193517855.

It is an arithmetic number, because the mean of its divisors is an integer number (36023361024).

Almost surely, 2^{5981352686400} is an apocalyptic number.

5981352686400 is a gapful number since it is divisible by the number (50) 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 5981352686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103849304064).

5981352686400 is an abundant number, since it is smaller than the sum of its proper divisors (18226345921728).

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

5981352686400 is a wasteful number, since it uses less digits than its factorization.

5981352686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31399 (or 31384 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 5981352686400 in words is "five trillion, nine hundred eighty-one billion, three hundred fifty-two million, six hundred eighty-six thousand, four hundred".