536605392960 has 1008 divisors, whose sum is σ = 2363308496640. Its totient is φ = 109293649920.

The previous prime is 536605392941. The next prime is 536605392977. The reversal of 536605392960 is 69293506635.

536605392960 is a `hidden beast` number, since 5 + 3 + 6 + 605 + 3 + 9 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 536605392897 and 536605392906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98801445 + ... + 98806875.

It is an arithmetic number, because the mean of its divisors is an integer number (2344552080).

Almost surely, 2^536605392960 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 536605392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181654248320).

536605392960 is an abundant number, since it is smaller than the sum of its proper divisors (1826703103680).

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

536605392960 is a wasteful number, since it uses less digits than its factorization.

536605392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 536605392960 in words is "five hundred thirty-six billion, six hundred five million, three hundred ninety-two thousand, nine hundred sixty".