52728391618560 has 4992 divisors, whose sum is σ = 245238697267200. Its totient is φ = 10594748989440.

The previous prime is 52728391618559. The next prime is 52728391618597. The reversal of 52728391618560 is 6581619382725.

52728391618560 is a `hidden beast` number, since 5 + 2 + 7 + 2 + 8 + 3 + 9 + 1 + 61 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 786990919647 + ... + 786990919713.

It is an arithmetic number, because the mean of its divisors is an integer number (49126341600).

Almost surely, 2^{52728391618560} 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 52728391618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122619348633600).

52728391618560 is an abundant number, since it is smaller than the sum of its proper divisors (192510305648640).

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

52728391618560 is a wasteful number, since it uses less digits than its factorization.

52728391618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 52728391618560 in words is "fifty-two trillion, seven hundred twenty-eight billion, three hundred ninety-one million, six hundred eighteen thousand, five hundred sixty".