52660295424 has 720 divisors, whose sum is σ = 186976944000. Its totient is φ = 14561648640.

The previous prime is 52660295407. The next prime is 52660295431. The reversal of 52660295424 is 42459206625.

52660295424 is a `hidden beast` number, since 5 + 26 + 60 + 29 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52660295424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125680687 + ... + 125681105.

It is an arithmetic number, because the mean of its divisors is an integer number (259690200).

Almost surely, 2^52660295424 is an apocalyptic number.

52660295424 is a gapful number since it is divisible by the number (54) 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 52660295424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93488472000).

52660295424 is an abundant number, since it is smaller than the sum of its proper divisors (134316648576).

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

52660295424 is a wasteful number, since it uses less digits than its factorization.

52660295424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 52660295424 in words is "fifty-two billion, six hundred sixty million, two hundred ninety-five thousand, four hundred twenty-four".