52684178728896 has 2268 divisors, whose sum is σ = 194111454563208. Its totient is φ = 14089626777600.

The previous prime is 52684178728859. The next prime is 52684178728897. The reversal of 52684178728896 is 69882787148625.

52684178728896 is a `hidden beast` number, since 5 + 2 + 6 + 84 + 178 + 7 + 288 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (5202247680) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52684178728897) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 634749141271 + ... + 634749141353.

Almost surely, 2^{52684178728896} 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 52684178728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97055727281604).

52684178728896 is an abundant number, since it is smaller than the sum of its proper divisors (141427275834312).

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

52684178728896 is an equidigital number, since it uses as much as digits as its factorization.

52684178728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 143 counting only the distinct ones).

The product of its digits is 5202247680, while the sum is 81.

The spelling of 52684178728896 in words is "fifty-two trillion, six hundred eighty-four billion, one hundred seventy-eight million, seven hundred twenty-eight thousand, eight hundred ninety-six".