52461320040 has 192 divisors, whose sum is σ = 174055087440. Its totient is φ = 13699952640.

The previous prime is 52461320029. The next prime is 52461320063. The reversal of 52461320040 is 4002316425.

52461320040 is a `hidden beast` number, since 5 + 2 + 4 + 613 + 2 + 0 + 0 + 40 = 666.

52461320040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 68856804 + 52392463236 = 8298^2 + 228894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52461319986 and 52461320013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5111554 + ... + 5121806.

Almost surely, 2^52461320040 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 52461320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87027543720).

52461320040 is an abundant number, since it is smaller than the sum of its proper divisors (121593767400).

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

52461320040 is a wasteful number, since it uses less digits than its factorization.

52461320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 52461320040 its reverse (4002316425), we get a palindrome (56463636465).

The spelling of 52461320040 in words is "fifty-two billion, four hundred sixty-one million, three hundred twenty thousand, forty".