47652700316100 has 288 divisors, whose sum is σ = 151546663726080. Its totient is φ = 11465012160000.

The previous prime is 47652700316083. The next prime is 47652700316167. The reversal of 47652700316100 is 161300725674.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381308625 + ... + 381433575.

Almost surely, 2^{47652700316100} 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 47652700316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75773331863040).

47652700316100 is an abundant number, since it is smaller than the sum of its proper divisors (103893963409980).

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

47652700316100 is a wasteful number, since it uses less digits than its factorization.

47652700316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125851 (or 125844 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 47652700316100 in words is "forty-seven trillion, six hundred fifty-two billion, seven hundred million, three hundred sixteen thousand, one hundred".