5982027292800 has 2880 divisors, whose sum is σ = 26277067099800. Its totient is φ = 1333261762560.

The previous prime is 5982027292799. The next prime is 5982027292849. The reversal of 5982027292800 is 82927202895.

5982027292800 is a `hidden beast` number, since 5 + 98 + 2 + 0 + 272 + 9 + 280 + 0 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 3923536947264 + 2058490345536 = 1980792^2 + 1434744^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 21595766262 + ... + 21595766538.

Almost surely, 2^{5982027292800} is an apocalyptic number.

5982027292800 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 5982027292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138533549900).

5982027292800 is an abundant number, since it is smaller than the sum of its proper divisors (20295039807000).

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

5982027292800 is a wasteful number, since it uses less digits than its factorization.

5982027292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 5982027292800 in words is "five trillion, nine hundred eighty-two billion, twenty-seven million, two hundred ninety-two thousand, eight hundred".