52105940104608 has 672 divisors, whose sum is σ = 171732979837440. Its totient is φ = 15447025244160.

The previous prime is 52105940104601. The next prime is 52105940104619. The reversal of 52105940104608 is 80640104950125.

52105940104608 is a `hidden beast` number, since 5 + 2 + 1 + 0 + 594 + 0 + 10 + 46 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (52105940104601) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2152859035 + ... + 2152883237.

It is an arithmetic number, because the mean of its divisors is an integer number (255555029520).

Almost surely, 2^{52105940104608} 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 52105940104608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85866489918720).

52105940104608 is an abundant number, since it is smaller than the sum of its proper divisors (119627039732832).

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

52105940104608 is a wasteful number, since it uses less digits than its factorization.

52105940104608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24504 (or 24481 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 52105940104608 in words is "fifty-two trillion, one hundred five billion, nine hundred forty million, one hundred four thousand, six hundred eight".