53102564176992 has 384 divisors, whose sum is σ = 157595930021376. Its totient is φ = 15643964160000.

The previous prime is 53102564176957. The next prime is 53102564176997. The reversal of 53102564176992 is 29967146520135.

It is a happy number.

53102564176992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53102564176997) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6859906242 + ... + 6859913982.

It is an arithmetic number, because the mean of its divisors is an integer number (410406067764).

Almost surely, 2^{53102564176992} 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 53102564176992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78797965010688).

53102564176992 is an abundant number, since it is smaller than the sum of its proper divisors (104493365844384).

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

53102564176992 is a wasteful number, since it uses less digits than its factorization.

53102564176992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9275 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 53102564176992 in words is "fifty-three trillion, one hundred two billion, five hundred sixty-four million, one hundred seventy-six thousand, nine hundred ninety-two".