53612804511864 has 288 divisors, whose sum is σ = 168310329408000. Its totient is φ = 15363138316032.

The previous prime is 53612804511841. The next prime is 53612804511941. The reversal of 53612804511864 is 46811540821635.

53612804511864 is a `hidden beast` number, since 5 + 3 + 6 + 1 + 2 + 8 + 0 + 451 + 186 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53612804511864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11675097 + ... + 15605559.

It is an arithmetic number, because the mean of its divisors is an integer number (584410866000).

Almost surely, 2^{53612804511864} 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 53612804511864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84155164704000).

53612804511864 is an abundant number, since it is smaller than the sum of its proper divisors (114697524896136).

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

53612804511864 is a wasteful number, since it uses less digits than its factorization.

53612804511864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930579 (or 3930559 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 53612804511864 in words is "fifty-three trillion, six hundred twelve billion, eight hundred four million, five hundred eleven thousand, eight hundred sixty-four".