5827656556800 has 1296 divisors, whose sum is σ = 23272260979968. Its totient is φ = 1382046105600.

The previous prime is 5827656556789. The next prime is 5827656556867. The reversal of 5827656556800 is 86556567285.

5827656556800 is a `hidden beast` number, since 5 + 8 + 2 + 7 + 6 + 5 + 65 + 568 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2548165257 + ... + 2548167543.

Almost surely, 2^{5827656556800} is an apocalyptic number.

5827656556800 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 5827656556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636130489984).

5827656556800 is an abundant number, since it is smaller than the sum of its proper divisors (17444604423168).

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

5827656556800 is a wasteful number, since it uses less digits than its factorization.

5827656556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 5827656556800 in words is "five trillion, eight hundred twenty-seven billion, six hundred fifty-six million, five hundred fifty-six thousand, eight hundred".