47656963005120 has 1008 divisors, whose sum is σ = 192558378212928. Its totient is φ = 10596483072000.

The previous prime is 47656963005097. The next prime is 47656963005133. The reversal of 47656963005120 is 2150036965674.

47656963005120 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 6 + 96 + 30 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×47656963005120² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6807161620 + ... + 6807168620.

It is an arithmetic number, because the mean of its divisors is an integer number (191030137116).

Almost surely, 2^{47656963005120} is an apocalyptic number.

47656963005120 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 47656963005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96279189106464).

47656963005120 is an abundant number, since it is smaller than the sum of its proper divisors (144901415207808).

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

47656963005120 is a wasteful number, since it uses less digits than its factorization.

47656963005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 7174 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 47656963005120 in words is "forty-seven trillion, six hundred fifty-six billion, nine hundred sixty-three million, five thousand, one hundred twenty".