52393716648 has 480 divisors, whose sum is σ = 186150000960. Its totient is φ = 13473008640.

The previous prime is 52393716629. The next prime is 52393716653. The reversal of 52393716648 is 84661739325.

52393716648 is a `hidden beast` number, since 52 + 393 + 7 + 166 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52393716594 and 52393716603.

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 119 ways as a sum of consecutive naturals, for example, 31429111 + ... + 31430777.

It is an arithmetic number, because the mean of its divisors is an integer number (387812502).

Almost surely, 2^52393716648 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 52393716648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93075000480).

52393716648 is an abundant number, since it is smaller than the sum of its proper divisors (133756284312).

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

52393716648 is a wasteful number, since it uses less digits than its factorization.

52393716648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1733 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 52393716648 in words is "fifty-two billion, three hundred ninety-three million, seven hundred sixteen thousand, six hundred forty-eight".