52438131605664 has 288 divisors, whose sum is σ = 187279044321600. Its totient is φ = 14193779765760.

The previous prime is 52438131605659. The next prime is 52438131605791. The reversal of 52438131605664 is 46650613183425.

52438131605664 is a `hidden beast` number, since 5 + 2 + 4 + 3 + 8 + 13 + 1 + 60 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 52438131605664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31790827 + ... + 33399594.

It is an arithmetic number, because the mean of its divisors is an integer number (650274459450).

Almost surely, 2^{52438131605664} is an apocalyptic number.

52438131605664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

52438131605664 is an abundant number, since it is smaller than the sum of its proper divisors (134840912715936).

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

52438131605664 is a wasteful number, since it uses less digits than its factorization.

52438131605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65190473 (or 65190452 counting only the distinct ones).

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

The spelling of 52438131605664 in words is "fifty-two trillion, four hundred thirty-eight billion, one hundred thirty-one million, six hundred five thousand, six hundred sixty-four".