47875581134280 has 256 divisors, whose sum is σ = 168828652800000. Its totient is φ = 12034104318720.

The previous prime is 47875581134273. The next prime is 47875581134281. The reversal of 47875581134280 is 8243118557874.

47875581134280 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 5 + 581 + 1 + 3 + 42 + 8 + 0 = 666.

It is a super-2 number, since 2×47875581134280² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47875581134281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1778626 + ... + 9945585.

It is an arithmetic number, because the mean of its divisors is an integer number (659486925000).

Almost surely, 2^{47875581134280} is an apocalyptic number.

47875581134280 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 47875581134280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84414326400000).

47875581134280 is an abundant number, since it is smaller than the sum of its proper divisors (120953071665720).

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

47875581134280 is a wasteful number, since it uses less digits than its factorization.

47875581134280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11724449 (or 11724439 counting only the distinct ones).

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

The spelling of 47875581134280 in words is "forty-seven trillion, eight hundred seventy-five billion, five hundred eighty-one million, one hundred thirty-four thousand, two hundred eighty".