5258182228992 has 2112 divisors, whose sum is σ = 20463816422400. Its totient is φ = 1287556300800.

The previous prime is 5258182228991. The next prime is 5258182229039. The reversal of 5258182228992 is 2998222818525.

5258182228992 is a `hidden beast` number, since 5 + 2 + 581 + 8 + 22 + 28 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258182228991) 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, 78480331743 + ... + 78480331809.

Almost surely, 2^{5258182228992} 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 5258182228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231908211200).

5258182228992 is an abundant number, since it is smaller than the sum of its proper divisors (15205634193408).

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

5258182228992 is a wasteful number, since it uses less digits than its factorization.

5258182228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 188 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 5258182228992 in words is "five trillion, two hundred fifty-eight billion, one hundred eighty-two million, two hundred twenty-eight thousand, nine hundred ninety-two".