52191106987104 has 288 divisors, whose sum is σ = 152191388643840. Its totient is φ = 16957901030400.

The previous prime is 52191106987087. The next prime is 52191106987139. The reversal of 52191106987104 is 40178960119125.

52191106987104 is a `hidden beast` number, since 521 + 9 + 1 + 1 + 0 + 6 + 9 + 8 + 7 + 104 = 666.

52191106987104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4753715887 + ... + 4753726865.

It is an arithmetic number, because the mean of its divisors is an integer number (528442321680).

Almost surely, 2^{52191106987104} 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 52191106987104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76095694321920).

52191106987104 is an abundant number, since it is smaller than the sum of its proper divisors (100000281656736).

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

52191106987104 is a wasteful number, since it uses less digits than its factorization.

52191106987104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 52191106987104 in words is "fifty-two trillion, one hundred ninety-one billion, one hundred six million, nine hundred eighty-seven thousand, one hundred four".