47989611724800 has 768 divisors, whose sum is σ = 167123057904000. Its totient is φ = 12126970183680.

The previous prime is 47989611724787. The next prime is 47989611724819. The reversal of 47989611724800 is 842711698974.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6161199306 + ... + 6161207094.

Almost surely, 2^{47989611724800} is an apocalyptic number.

47989611724800 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 47989611724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83561528952000).

47989611724800 is an abundant number, since it is smaller than the sum of its proper divisors (119133446179200).

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

47989611724800 is a wasteful number, since it uses less digits than its factorization.

47989611724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 47989611724800 in words is "forty-seven trillion, nine hundred eighty-nine billion, six hundred eleven million, seven hundred twenty-four thousand, eight hundred".