5851688140800 has 816 divisors, whose sum is σ = 21648734928000. Its totient is φ = 1549632798720.

The previous prime is 5851688140777. The next prime is 5851688140801. The reversal of 5851688140800 is 80418861585.

5851688140800 is a `hidden beast` number, since 5 + 8 + 516 + 8 + 8 + 1 + 40 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5851688140801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7918386831 + ... + 7918387569.

Almost surely, 2^{5851688140800} is an apocalyptic number.

5851688140800 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 5851688140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824367464000).

5851688140800 is an abundant number, since it is smaller than the sum of its proper divisors (15797046787200).

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

5851688140800 is an equidigital number, since it uses as much as digits as its factorization.

5851688140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 5851688140800 in words is "five trillion, eight hundred fifty-one billion, six hundred eighty-eight million, one hundred forty thousand, eight hundred".