5981083250688 has 1872 divisors, whose sum is σ = 22897286530560. Its totient is φ = 1469624352768.

The previous prime is 5981083250683. The next prime is 5981083250689. The reversal of 5981083250688 is 8860523801895.

5981083250688 is a `hidden beast` number, since 5 + 9 + 8 + 10 + 8 + 32 + 506 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5981083250683) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67203182548 + ... + 67203182636.

It is an arithmetic number, because the mean of its divisors is an integer number (12231456480).

Almost surely, 2^{5981083250688} 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 5981083250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448643265280).

5981083250688 is an abundant number, since it is smaller than the sum of its proper divisors (16916203279872).

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

5981083250688 is a wasteful number, since it uses less digits than its factorization.

5981083250688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 5981083250688 in words is "five trillion, nine hundred eighty-one billion, eighty-three million, two hundred fifty thousand, six hundred eighty-eight".