47512251212160 has 768 divisors, whose sum is σ = 185519809728000. Its totient is φ = 10284119064576.

The previous prime is 47512251212137. The next prime is 47512251212171. The reversal of 47512251212160 is 6121215221574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6447580956 + ... + 6447588324.

It is an arithmetic number, because the mean of its divisors is an integer number (241562252250).

Almost surely, 2^{47512251212160} is an apocalyptic number.

47512251212160 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 47512251212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92759904864000).

47512251212160 is an abundant number, since it is smaller than the sum of its proper divisors (138007558515840).

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

47512251212160 is a wasteful number, since it uses less digits than its factorization.

47512251212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11031 (or 11012 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 47512251212160 in words is "forty-seven trillion, five hundred twelve billion, two hundred fifty-one million, two hundred twelve thousand, one hundred sixty".