52586412480 has 1344 divisors, whose sum is σ = 233711861760. Its totient is φ = 10576355328.

The previous prime is 52586412469. The next prime is 52586412517. The reversal of 52586412480 is 8421468525.

52586412480 is a `hidden beast` number, since 5 + 2 + 586 + 41 + 24 + 8 + 0 = 666.

52586412480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 414066177 + ... + 414066303.

Almost surely, 2^52586412480 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 52586412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116855930880).

52586412480 is an abundant number, since it is smaller than the sum of its proper divisors (181125449280).

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

52586412480 is a wasteful number, since it uses less digits than its factorization.

52586412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 52586412480 in words is "fifty-two billion, five hundred eighty-six million, four hundred twelve thousand, four hundred eighty".