47171084800 has 180 divisors, whose sum is σ = 135952679610. Its totient is φ = 16172728320.

The previous prime is 47171084759. The next prime is 47171084803. The reversal of 47171084800 is 848017174.

It can be written as a sum of positive squares in 3 ways, for example, as 43818211584 + 3352873216 = 209328^2 + 57904^2 .

It is a super-2 number, since 2×47171084800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (47171084803) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 589596 + ... + 664804.

Almost surely, 2^47171084800 is an apocalyptic number.

47171084800 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 47171084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67976339805).

47171084800 is an abundant number, since it is smaller than the sum of its proper divisors (88781594810).

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

47171084800 is an equidigital number, since it uses as much as digits as its factorization.

47171084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75251 (or 75223 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The spelling of 47171084800 in words is "forty-seven billion, one hundred seventy-one million, eighty-four thousand, eight hundred".