52711331706048 has 672 divisors, whose sum is σ = 154499745254400. Its totient is φ = 15847565819904.

The previous prime is 52711331706017. The next prime is 52711331706097. The reversal of 52711331706048 is 84060713311725.

It is a Cunningham number, because it is equal to 7260257²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 52711331705988 and 52711331706006.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22535839663 + ... + 22535842001.

It is an arithmetic number, because the mean of its divisors is an integer number (229910335200).

Almost surely, 2^{52711331706048} 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 52711331706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77249872627200).

52711331706048 is an abundant number, since it is smaller than the sum of its proper divisors (101788413548352).

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

52711331706048 is a wasteful number, since it uses less digits than its factorization.

52711331706048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 52711331706048 in words is "fifty-two trillion, seven hundred eleven billion, three hundred thirty-one million, seven hundred six thousand, forty-eight".