47973309310080 has 3072 divisors, whose sum is σ = 232428646195200. Its totient is φ = 8811439718400.

The previous prime is 47973309310051. The next prime is 47973309310093. The reversal of 47973309310080 is 8001390337974.

It is a happy number.

47973309310080 is a `hidden beast` number, since 47 + 9 + 7 + 330 + 93 + 100 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47973309309999 and 47973309310026.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7946544822 + ... + 7946550858.

It is an arithmetic number, because the mean of its divisors is an integer number (75660366600).

Almost surely, 2^{47973309310080} is an apocalyptic number.

47973309310080 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 47973309310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116214323097600).

47973309310080 is an abundant number, since it is smaller than the sum of its proper divisors (184455336885120).

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

47973309310080 is a wasteful number, since it uses less digits than its factorization.

47973309310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6163 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 47973309310080 in words is "forty-seven trillion, nine hundred seventy-three billion, three hundred nine million, three hundred ten thousand, eighty".