47838341817600 has 216 divisors, whose sum is σ = 158251524608352. Its totient is φ = 12726587596800.

The previous prime is 47838341817557. The next prime is 47838341817647. The reversal of 47838341817600 is 671814383874.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5124079 + ... + 11042321.

Almost surely, 2^{47838341817600} is an apocalyptic number.

47838341817600 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 47838341817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79125762304176).

47838341817600 is an abundant number, since it is smaller than the sum of its proper divisors (110413182790752).

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

47838341817600 is a wasteful number, since it uses less digits than its factorization.

47838341817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918693 (or 5918674 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 47838341817600 in words is "forty-seven trillion, eight hundred thirty-eight billion, three hundred forty-one million, eight hundred seventeen thousand, six hundred".