5847706972800 has 4608 divisors, whose sum is σ = 29271155097600. Its totient is φ = 1083912192000.

The previous prime is 5847706972741. The next prime is 5847706972847. The reversal of 5847706972800 is 82796077485.

5847706972800 is a `hidden beast` number, since 58 + 477 + 0 + 6 + 97 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 158046134382 + ... + 158046134418.

It is an arithmetic number, because the mean of its divisors is an integer number (6352247200).

Almost surely, 2^{5847706972800} is an apocalyptic number.

5847706972800 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 5847706972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635577548800).

5847706972800 is an abundant number, since it is smaller than the sum of its proper divisors (23423448124800).

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

5847706972800 is a wasteful number, since it uses less digits than its factorization.

5847706972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 5847706972800 in words is "five trillion, eight hundred forty-seven billion, seven hundred six million, nine hundred seventy-two thousand, eight hundred".