5982562800 has 360 divisors, whose sum is σ = 21904726480. Its totient is φ = 1567641600.

The previous prime is 5982562793. The next prime is 5982562829. The reversal of 5982562800 is 82652895.

5982562800 is a `hidden beast` number, since 5 + 9 + 8 + 2 + 562 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5928696 + ... + 5929704.

Almost surely, 2^5982562800 is an apocalyptic number.

5982562800 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 5982562800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952363240).

5982562800 is an abundant number, since it is smaller than the sum of its proper divisors (15922163680).

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

5982562800 is a wasteful number, since it uses less digits than its factorization.

5982562800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5982562800 is about 77347.0283850647. The cubic root of 5982562800 is about 1815.3585795182.

The spelling of 5982562800 in words is "five billion, nine hundred eighty-two million, five hundred sixty-two thousand, eight hundred".