47854817856000 has 480 divisors, whose sum is σ = 181435916376000. Its totient is φ = 12089635430400.

The previous prime is 47854817855993. The next prime is 47854817856047. The reversal of 47854817856000 is 65871845874.

It is a happy number.

47854817856000 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 4 + 8 + 17 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8757651 + ... + 13130349.

It is an arithmetic number, because the mean of its divisors is an integer number (377991492450).

Almost surely, 2^{47854817856000} is an apocalyptic number.

47854817856000 is a gapful number since it is divisible by the number (40) 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 47854817856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90717958188000).

47854817856000 is an abundant number, since it is smaller than the sum of its proper divisors (133581098520000).

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

47854817856000 is a wasteful number, since it uses less digits than its factorization.

47854817856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372757 (or 4372728 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 47854817856000 in words is "forty-seven trillion, eight hundred fifty-four billion, eight hundred seventeen million, eight hundred fifty-six thousand".