5982282777600 has 1056 divisors, whose sum is σ = 23112075018240. Its totient is φ = 1513389588480.

The previous prime is 5982282777511. The next prime is 5982282777619. The reversal of 5982282777600 is 67772822895.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2018993719 + ... + 2018996681.

Almost surely, 2^{5982282777600} is an apocalyptic number.

5982282777600 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 5982282777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556037509120).

5982282777600 is an abundant number, since it is smaller than the sum of its proper divisors (17129792240640).

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

5982282777600 is a wasteful number, since it uses less digits than its factorization.

5982282777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 5982282777600 in words is "five trillion, nine hundred eighty-two billion, two hundred eighty-two million, seven hundred seventy-seven thousand, six hundred".