5982863040 has 1344 divisors, whose sum is σ = 29126200320. Its totient is φ = 1119191040.

The previous prime is 5982862999. The next prime is 5982863053. The reversal of 5982863040 is 403682895.

5982863040 is a `hidden beast` number, since 5 + 9 + 8 + 2 + 8 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×5982863040³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 260124469 + ... + 260124491.

It is an arithmetic number, because the mean of its divisors is an integer number (21671280).

Almost surely, 2^5982863040 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 5982863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563100160).

5982863040 is an abundant number, since it is smaller than the sum of its proper divisors (23143337280).

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

5982863040 is a wasteful number, since it uses less digits than its factorization.

5982863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5982863040 is about 77348.9692239011. The cubic root of 5982863040 is about 1815.3889474480.

The spelling of 5982863040 in words is "five billion, nine hundred eighty-two million, eight hundred sixty-three thousand, forty".