52721319816 has 192 divisors, whose sum is σ = 161511667200. Its totient is φ = 15391641600.

The previous prime is 52721319811. The next prime is 52721319829. The reversal of 52721319816 is 61891312725.

52721319816 is a `hidden beast` number, since 527 + 2 + 1 + 31 + 98 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (52721319811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5617720 + ... + 5627096.

It is an arithmetic number, because the mean of its divisors is an integer number (841206600).

Almost surely, 2^52721319816 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 52721319816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80755833600).

52721319816 is an abundant number, since it is smaller than the sum of its proper divisors (108790347384).

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

52721319816 is a wasteful number, since it uses less digits than its factorization.

52721319816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9660 (or 9653 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 52721319816 in words is "fifty-two billion, seven hundred twenty-one million, three hundred nineteen thousand, eight hundred sixteen".