5946116368500 has 1152 divisors, whose sum is σ = 24318481195008. Its totient is φ = 1187239680000.

The previous prime is 5946116368457. The next prime is 5946116368529. The reversal of 5946116368500 is 58636116495.

5946116368500 is a `hidden beast` number, since 5 + 9 + 4 + 6 + 11 + 63 + 68 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 951832377 + ... + 951838623.

It is an arithmetic number, because the mean of its divisors is an integer number (21109792704).

Almost surely, 2^{5946116368500} is an apocalyptic number.

5946116368500 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 5946116368500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12159240597504).

5946116368500 is an abundant number, since it is smaller than the sum of its proper divisors (18372364826508).

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

5946116368500 is a wasteful number, since it uses less digits than its factorization.

5946116368500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5946116368500 in words is "five trillion, nine hundred forty-six billion, one hundred sixteen million, three hundred sixty-eight thousand, five hundred".