47986748352000 has 400 divisors, whose sum is σ = 178748324232192. Its totient is φ = 12796464844800.

The previous prime is 47986748351981. The next prime is 47986748352077. The reversal of 47986748352000 is 25384768974.

47986748352000 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 67 + 48 + 3 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 555649 + ... + 9812351.

Almost surely, 2^{47986748352000} is an apocalyptic number.

47986748352000 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 47986748352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89374162116096).

47986748352000 is an abundant number, since it is smaller than the sum of its proper divisors (130761575880192).

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

47986748352000 is an frugal number, since it uses more digits than its factorization.

47986748352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256748 (or 9256713 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 47986748352000 in words is "forty-seven trillion, nine hundred eighty-six billion, seven hundred forty-eight million, three hundred fifty-two thousand".