52986343605624 has 768 divisors, whose sum is σ = 178333019504640. Its totient is φ = 13989677184000.

The previous prime is 52986343605577. The next prime is 52986343605661. The reversal of 52986343605624 is 42650634368925.

52986343605624 is a `hidden beast` number, since 5 + 2 + 9 + 8 + 6 + 3 + 4 + 3 + 60 + 562 + 4 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 11295317119 + ... + 11295321809.

It is an arithmetic number, because the mean of its divisors is an integer number (232204452480).

Almost surely, 2^{52986343605624} 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 52986343605624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89166509752320).

52986343605624 is an abundant number, since it is smaller than the sum of its proper divisors (125346675899016).

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

52986343605624 is a wasteful number, since it uses less digits than its factorization.

52986343605624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 52986343605624 in words is "fifty-two trillion, nine hundred eighty-six billion, three hundred forty-three million, six hundred five thousand, six hundred twenty-four".