5582257369920 has 1792 divisors, whose sum is σ = 25100148326400. Its totient is φ = 1134355415040.

The previous prime is 5582257369907. The next prime is 5582257369943. The reversal of 5582257369920 is 299637522855.

5582257369920 is a `hidden beast` number, since 5 + 58 + 2 + 2 + 573 + 6 + 9 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6653464861 + ... + 6653465699.

It is an arithmetic number, because the mean of its divisors is an integer number (14006779200).

Almost surely, 2^{5582257369920} 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 5582257369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12550074163200).

5582257369920 is an abundant number, since it is smaller than the sum of its proper divisors (19517890956480).

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

5582257369920 is a wasteful number, since it uses less digits than its factorization.

5582257369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 5582257369920 in words is "five trillion, five hundred eighty-two billion, two hundred fifty-seven million, three hundred sixty-nine thousand, nine hundred twenty".