52416579172608 has 324 divisors, whose sum is σ = 183477566126400. Its totient is φ = 14095213314048.

The previous prime is 52416579172597. The next prime is 52416579172621. The reversal of 52416579172608 is 80627197561425.

It is a happy number.

52416579172608 is a `hidden beast` number, since 5 + 2 + 4 + 1 + 6 + 5 + 7 + 9 + 17 + 2 + 608 = 666.

52416579172608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 35 ways as a sum of consecutive naturals, for example, 961908 + ... + 10283891.

Almost surely, 2^{52416579172608} 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 52416579172608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91738783063200).

52416579172608 is an abundant number, since it is smaller than the sum of its proper divisors (131060986953792).

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

52416579172608 is a wasteful number, since it uses less digits than its factorization.

52416579172608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245862 (or 11245828 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 52416579172608 in words is "fifty-two trillion, four hundred sixteen billion, five hundred seventy-nine million, one hundred seventy-two thousand, six hundred eight".