5941167112800 has 576 divisors, whose sum is σ = 23740390517760. Its totient is φ = 1426283274240.

The previous prime is 5941167112789. The next prime is 5941167112801. The reversal of 5941167112800 is 82117611495.

5941167112800 is a `hidden beast` number, since 59 + 411 + 67 + 1 + 128 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5941167112801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8093869 + ... + 8797331.

It is an arithmetic number, because the mean of its divisors is an integer number (41215955760).

Almost surely, 2^{5941167112800} is an apocalyptic number.

5941167112800 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 5941167112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870195258880).

5941167112800 is an abundant number, since it is smaller than the sum of its proper divisors (17799223404960).

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

5941167112800 is a wasteful number, since it uses less digits than its factorization.

5941167112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703532 (or 703513 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 5941167112800 in words is "five trillion, nine hundred forty-one billion, one hundred sixty-seven million, one hundred twelve thousand, eight hundred".