47271081600 has 1152 divisors, whose sum is σ = 188942906880. Its totient is φ = 11645337600.

The previous prime is 47271081593. The next prime is 47271081601. The reversal of 47271081600 is 618017274.

47271081600 is a `hidden beast` number, since 47 + 2 + 7 + 1 + 0 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47271081601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 891907174 + ... + 891907226.

It is an arithmetic number, because the mean of its divisors is an integer number (164012940).

Almost surely, 2^47271081600 is an apocalyptic number.

47271081600 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 47271081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94471453440).

47271081600 is an abundant number, since it is smaller than the sum of its proper divisors (141671825280).

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

47271081600 is a wasteful number, since it uses less digits than its factorization.

47271081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 47271081600 its reverse (618017274), we get a palindrome (47889098874).

The spelling of 47271081600 in words is "forty-seven billion, two hundred seventy-one million, eighty-one thousand, six hundred".