52661082240 has 768 divisors, whose sum is σ = 212620917600. Its totient is φ = 11890851840.

The previous prime is 52661082211. The next prime is 52661082263. The reversal of 52661082240 is 4228016625.

It is a happy number.

52661082240 is a `hidden beast` number, since 526 + 6 + 10 + 82 + 2 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 600446016 + 52060636224 = 24504^2 + 228168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52661082195 and 52661082204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52190856 + ... + 52191864.

Almost surely, 2^52661082240 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 52661082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106310458800).

52661082240 is an abundant number, since it is smaller than the sum of its proper divisors (159959835360).

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

52661082240 is a wasteful number, since it uses less digits than its factorization.

52661082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 52661082240 its reverse (4228016625), we get a palindrome (56889098865).

The spelling of 52661082240 in words is "fifty-two billion, six hundred sixty-one million, eighty-two thousand, two hundred forty".