5582087685720 has 1024 divisors, whose sum is σ = 24590026137600. Its totient is φ = 1092843601920.

The previous prime is 5582087685679. The next prime is 5582087685751. The reversal of 5582087685720 is 275867802855.

It is a happy number.

5582087685720 is a `hidden beast` number, since 5 + 58 + 2 + 0 + 8 + 7 + 6 + 8 + 572 + 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, 118600432 + ... + 118647488.

It is an arithmetic number, because the mean of its divisors is an integer number (24013697400).

Almost surely, 2^{5582087685720} 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 5582087685720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295013068800).

5582087685720 is an abundant number, since it is smaller than the sum of its proper divisors (19007938451880).

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

5582087685720 is a wasteful number, since it uses less digits than its factorization.

5582087685720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47185 (or 47175 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 5582087685720 in words is "five trillion, five hundred eighty-two billion, eighty-seven million, six hundred eighty-five thousand, seven hundred twenty".