52124856121728 has 288 divisors, whose sum is σ = 162743508804240. Its totient is φ = 16006501675008.

The previous prime is 52124856121699. The next prime is 52124856121757. The reversal of 52124856121728 is 82712165842125.

52124856121728 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 4 + 8 + 5 + 612 + 17 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (52124856121699) and next prime (52124856121757).

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

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 35 ways as a sum of consecutive naturals, for example, 97661926 + ... + 98194202.

Almost surely, 2^{52124856121728} 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 52124856121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81371754402120).

52124856121728 is an abundant number, since it is smaller than the sum of its proper divisors (110618652682512).

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

52124856121728 is a wasteful number, since it uses less digits than its factorization.

52124856121728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532826 (or 532798 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The spelling of 52124856121728 in words is "fifty-two trillion, one hundred twenty-four billion, eight hundred fifty-six million, one hundred twenty-one thousand, seven hundred twenty-eight".