5071643947776 has 864 divisors, whose sum is σ = 17062632018432. Its totient is φ = 1304507842560.

The previous prime is 5071643947729. The next prime is 5071643947807. The reversal of 5071643947776 is 6777493461705.

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 95 ways as a sum of consecutive naturals, for example, 38714839231 + ... + 38714839361.

It is an arithmetic number, because the mean of its divisors is an integer number (19748416688).

Almost surely, 2^{5071643947776} is an apocalyptic number.

5071643947776 is a gapful number since it is divisible by the number (56) 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 5071643947776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531316009216).

5071643947776 is an abundant number, since it is smaller than the sum of its proper divisors (11990988070656).

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

5071643947776 is a wasteful number, since it uses less digits than its factorization.

5071643947776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 66.

The spelling of 5071643947776 in words is "five trillion, seventy-one billion, six hundred forty-three million, nine hundred forty-seven thousand, seven hundred seventy-six".