47860293132288 has 1344 divisors, whose sum is σ = 177159707891712. Its totient is φ = 12572664791040.

The previous prime is 47860293132287. The next prime is 47860293132293. The reversal of 47860293132288 is 88223139206874.

47860293132288 is a `hidden beast` number, since 4 + 7 + 8 + 60 + 293 + 1 + 3 + 2 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×47860293132288² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47860293132287) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 78075518670 + ... + 78075519282.

It is an arithmetic number, because the mean of its divisors is an integer number (131815258848).

Almost surely, 2^{47860293132288} is an apocalyptic number.

47860293132288 is a gapful number since it is divisible by the number (48) 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 47860293132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88579853945856).

47860293132288 is an abundant number, since it is smaller than the sum of its proper divisors (129299414759424).

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

47860293132288 is an equidigital number, since it uses as much as digits as its factorization.

47860293132288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 47860293132288 in words is "forty-seven trillion, eight hundred sixty billion, two hundred ninety-three million, one hundred thirty-two thousand, two hundred eighty-eight".