5947482124800 has 360 divisors, whose sum is σ = 21310976166480. Its totient is φ = 1584014745600.

The previous prime is 5947482124777. The next prime is 5947482124853. The reversal of 5947482124800 is 84212847495.

5947482124800 is a `hidden beast` number, since 5 + 9 + 4 + 74 + 82 + 12 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93395371 + ... + 93459029.

It is an arithmetic number, because the mean of its divisors is an integer number (59197156018).

Almost surely, 2^{5947482124800} is an apocalyptic number.

5947482124800 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 5947482124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655488083240).

5947482124800 is an abundant number, since it is smaller than the sum of its proper divisors (15363494041680).

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

5947482124800 is a wasteful number, since it uses less digits than its factorization.

5947482124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64504 (or 64480 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 5947482124800 in words is "five trillion, nine hundred forty-seven billion, four hundred eighty-two million, one hundred twenty-four thousand, eight hundred".