5982821987688 has 1536 divisors, whose sum is σ = 22134119616000. Its totient is φ = 1500515186688.

The previous prime is 5982821987663. The next prime is 5982821987689. The reversal of 5982821987688 is 8867891282895.

5982821987688 is a `hidden beast` number, since 5 + 9 + 8 + 282 + 198 + 76 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (5982821987689) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34582785970 + ... + 34582786142.

It is an arithmetic number, because the mean of its divisors is an integer number (14410234125).

Almost surely, 2^{5982821987688} is an apocalyptic number.

5982821987688 is a gapful number since it is divisible by the number (58) 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 5982821987688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067059808000).

5982821987688 is an abundant number, since it is smaller than the sum of its proper divisors (16151297628312).

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

5982821987688 is a wasteful number, since it uses less digits than its factorization.

5982821987688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

The product of its digits is 2229534720, while the sum is 81.

The spelling of 5982821987688 in words is "five trillion, nine hundred eighty-two billion, eight hundred twenty-one million, nine hundred eighty-seven thousand, six hundred eighty-eight".