47988512819712 has 800 divisors, whose sum is σ = 150242339142720. Its totient is φ = 15230199398400.

The previous prime is 47988512819699. The next prime is 47988512819791. The reversal of 47988512819712 is 21791821588974.

47988512819712 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 8 + 512 + 8 + 1 + 97 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33072716587 + ... + 33072718037.

Almost surely, 2^{47988512819712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47988512819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75121169571360).

47988512819712 is an abundant number, since it is smaller than the sum of its proper divisors (102253826323008).

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

47988512819712 is a wasteful number, since it uses less digits than its factorization.

47988512819712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1849 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 72.

The spelling of 47988512819712 in words is "forty-seven trillion, nine hundred eighty-eight billion, five hundred twelve million, eight hundred nineteen thousand, seven hundred twelve".