5508025042464 has 576 divisors, whose sum is σ = 19178988192000. Its totient is φ = 1496724590592.

The previous prime is 5508025042463. The next prime is 5508025042469. The reversal of 5508025042464 is 4642405208055.

5508025042464 is a `hidden beast` number, since 5 + 5 + 0 + 80 + 2 + 504 + 2 + 4 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (5508025042463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191922964 + ... + 191951660.

It is an arithmetic number, because the mean of its divisors is an integer number (33296854500).

Almost surely, 2^{5508025042464} 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 5508025042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589494096000).

5508025042464 is an abundant number, since it is smaller than the sum of its proper divisors (13670963149536).

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

5508025042464 is a wasteful number, since it uses less digits than its factorization.

5508025042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28830 (or 28805 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 5508025042464 in words is "five trillion, five hundred eight billion, twenty-five million, forty-two thousand, four hundred sixty-four".