52107059466 has 576 divisors, whose sum is σ = 160608614400. Its totient is φ = 11811744000.

The previous prime is 52107059461. The next prime is 52107059519. The reversal of 52107059466 is 66495070125.

52107059466 is a `hidden beast` number, since 52 + 1 + 0 + 7 + 0 + 594 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (52107059461) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 733902211 + ... + 733902281.

It is an arithmetic number, because the mean of its divisors is an integer number (278834400).

Almost surely, 2^52107059466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52107059466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80304307200).

52107059466 is an abundant number, since it is smaller than the sum of its proper divisors (108501554934).

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

52107059466 is a wasteful number, since it uses less digits than its factorization.

52107059466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 52107059466 in words is "fifty-two billion, one hundred seven million, fifty-nine thousand, four hundred sixty-six".