47876759289216 has 960 divisors, whose sum is σ = 169643297894400. Its totient is φ = 13285971578880.

The previous prime is 47876759289181. The next prime is 47876759289257. The reversal of 47876759289216 is 61298295767874.

47876759289216 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 6 + 7 + 592 + 8 + 9 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2447802445 + ... + 2447822003.

It is an arithmetic number, because the mean of its divisors is an integer number (176711768640).

Almost surely, 2^{47876759289216} 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 47876759289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84821648947200).

47876759289216 is an abundant number, since it is smaller than the sum of its proper divisors (121766538605184).

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

47876759289216 is a wasteful number, since it uses less digits than its factorization.

47876759289216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19749 (or 19715 counting only the distinct ones).

The product of its digits is 5120962560, while the sum is 81.

The spelling of 47876759289216 in words is "forty-seven trillion, eight hundred seventy-six billion, seven hundred fifty-nine million, two hundred eighty-nine thousand, two hundred sixteen".