538812408960 has 1536 divisors, whose sum is σ = 2352430080000. Its totient is φ = 110863613952.

The previous prime is 538812408947. The next prime is 538812408961. The reversal of 538812408960 is 69804218835.

538812408960 is a `hidden beast` number, since 5 + 388 + 124 + 0 + 89 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 538812408897 and 538812408906.

It is not an unprimeable number, because it can be changed into a prime (538812408961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1755089127 + ... + 1755089433.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530000).

Almost surely, 2^538812408960 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 538812408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176215040000).

538812408960 is an abundant number, since it is smaller than the sum of its proper divisors (1813617671040).

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

538812408960 is a wasteful number, since it uses less digits than its factorization.

538812408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 538812408960 in words is "five hundred thirty-eight billion, eight hundred twelve million, four hundred eight thousand, nine hundred sixty".