536871467520 has 480 divisors, whose sum is σ = 1990959244560. Its totient is φ = 133221580800.

The previous prime is 536871467501. The next prime is 536871467527. The reversal of 536871467520 is 25764178635.

536871467520 is a `hidden beast` number, since 5 + 3 + 6 + 8 + 71 + 46 + 7 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 403336767744 + 133534699776 = 635088^2 + 365424^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (536871467527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34851820 + ... + 34867220.

Almost surely, 2^536871467520 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 536871467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995479622280).

536871467520 is an abundant number, since it is smaller than the sum of its proper divisors (1454087777040).

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

536871467520 is a wasteful number, since it uses less digits than its factorization.

536871467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536 (or 15517 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 536871467520 in words is "five hundred thirty-six billion, eight hundred seventy-one million, four hundred sixty-seven thousand, five hundred twenty".