52649652384 has 576 divisors, whose sum is σ = 185175244800. Its totient is φ = 13857951744.

The previous prime is 52649652371. The next prime is 52649652401. The reversal of 52649652384 is 48325694625.

52649652384 is a `hidden beast` number, since 5 + 26 + 4 + 96 + 523 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52649652384.

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 95 ways as a sum of consecutive naturals, for example, 384303964 + ... + 384304100.

It is an arithmetic number, because the mean of its divisors is an integer number (321484800).

Almost surely, 2^52649652384 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 52649652384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92587622400).

52649652384 is an abundant number, since it is smaller than the sum of its proper divisors (132525592416).

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

52649652384 is a wasteful number, since it uses less digits than its factorization.

52649652384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 52649652384 in words is "fifty-two billion, six hundred forty-nine million, six hundred fifty-two thousand, three hundred eighty-four".