52860135472128 has 264 divisors, whose sum is σ = 161966641444608. Its totient is φ = 17210273181696.

The previous prime is 52860135472099. The next prime is 52860135472141. The reversal of 52860135472128 is 82127453106825.

It is a happy number.

52860135472128 is a `hidden beast` number, since 5 + 2 + 8 + 60 + 13 + 547 + 2 + 1 + 28 = 666.

It is a super-3 number, since 3×52860135472128³ (a number of 42 digits) contains 333 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 8229625 + ... + 13169927.

It is an arithmetic number, because the mean of its divisors is an integer number (613510005472).

Almost surely, 2^{52860135472128} 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 52860135472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80983320722304).

52860135472128 is an abundant number, since it is smaller than the sum of its proper divisors (109106505972480).

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

52860135472128 is an equidigital number, since it uses as much as digits as its factorization.

52860135472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940381 (or 4940351 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 52860135472128 in words is "fifty-two trillion, eight hundred sixty billion, one hundred thirty-five million, four hundred seventy-two thousand, one hundred twenty-eight".