52540024680 has 960 divisors, whose sum is σ = 213721477200. Its totient is φ = 11564467200.

The previous prime is 52540024673. The next prime is 52540024711. The reversal of 52540024680 is 8642004525.

It is a happy number.

52540024680 is a `hidden beast` number, since 5 + 2 + 5 + 400 + 246 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15118669764 + 37421354916 = 122958^2 + 193446^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 861311850 + ... + 861311910.

Almost surely, 2^52540024680 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 52540024680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106860738600).

52540024680 is an abundant number, since it is smaller than the sum of its proper divisors (161181452520).

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

52540024680 is a wasteful number, since it uses less digits than its factorization.

52540024680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 52540024680 in words is "fifty-two billion, five hundred forty million, twenty-four thousand, six hundred eighty".