52461569664 has 192 divisors, whose sum is σ = 173438254080. Its totient is φ = 14910105600.

The previous prime is 52461569663. The next prime is 52461569681. The reversal of 52461569664 is 46696516425.

52461569664 is a `hidden beast` number, since 524 + 6 + 1 + 56 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×52461569664² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52461569664.

It is not an unprimeable number, because it can be changed into a prime (52461569663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1523194 + ... + 1557254.

It is an arithmetic number, because the mean of its divisors is an integer number (903324240).

Almost surely, 2^52461569664 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 52461569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86719127040).

52461569664 is an abundant number, since it is smaller than the sum of its proper divisors (120976684416).

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

52461569664 is a wasteful number, since it uses less digits than its factorization.

52461569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34279 (or 34264 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 52461569664 in words is "fifty-two billion, four hundred sixty-one million, five hundred sixty-nine thousand, six hundred sixty-four".