52120164096 has 1296 divisors, whose sum is σ = 216276523008. Its totient is φ = 12093235200.

The previous prime is 52120164029. The next prime is 52120164101. The reversal of 52120164096 is 69046102125.

52120164096 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 0 + 1 + 640 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52120164096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1681295601 + ... + 1681295631.

Almost surely, 2^52120164096 is an apocalyptic number.

52120164096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52120164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108138261504).

52120164096 is an abundant number, since it is smaller than the sum of its proper divisors (164156358912).

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

52120164096 is an equidigital number, since it uses as much as digits as its factorization.

52120164096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 52120164096 in words is "fifty-two billion, one hundred twenty million, one hundred sixty-four thousand, ninety-six".