5582137680 has 960 divisors, whose sum is σ = 24958402560. Its totient is φ = 1128701952.

The previous prime is 5582137679. The next prime is 5582137723. The reversal of 5582137680 is 867312855.

5582137680 is a `hidden beast` number, since 5 + 582 + 1 + 3 + 7 + 68 + 0 = 666.

It is a super-2 number, since 2×5582137680² = 62320522156951564800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43953777 + ... + 43953903.

It is an arithmetic number, because the mean of its divisors is an integer number (25998336).

Almost surely, 2^5582137680 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 5582137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479201280).

5582137680 is an abundant number, since it is smaller than the sum of its proper divisors (19376264880).

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

5582137680 is a wasteful number, since it uses less digits than its factorization.

5582137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5582137680 is about 74713.7047669301. The cubic root of 5582137680 is about 1773.9178941683.

The spelling of 5582137680 in words is "five billion, five hundred eighty-two million, one hundred thirty-seven thousand, six hundred eighty".