52746526640160 has 288 divisors, whose sum is σ = 190335702735360. Its totient is φ = 13280006246400.

The previous prime is 52746526640123. The next prime is 52746526640251. The reversal of 52746526640160 is 6104662564725.

52746526640160 is a `hidden beast` number, since 5 + 2 + 7 + 46 + 526 + 64 + 0 + 16 + 0 = 666.

52746526640160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×52746526640160² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52746526640097 and 52746526640106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12579490 + ... + 16239969.

It is an arithmetic number, because the mean of its divisors is an integer number (660887856720).

Almost surely, 2^{52746526640160} is an apocalyptic number.

It is an amenable number.

52746526640160 is an abundant number, since it is smaller than the sum of its proper divisors (137589176095200).

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

52746526640160 is a wasteful number, since it uses less digits than its factorization.

52746526640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28819552 (or 28819541 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 52746526640160 in words is "fifty-two trillion, seven hundred forty-six billion, five hundred twenty-six million, six hundred forty thousand, one hundred sixty".