5576613282240 has 1792 divisors, whose sum is σ = 24744243363840. Its totient is φ = 1026514944000.

The previous prime is 5576613282217. The next prime is 5576613282287. The reversal of 5576613282240 is 422823166755.

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, 3902457846 + ... + 3902459274.

It is an arithmetic number, because the mean of its divisors is an integer number (13808171520).

Almost surely, 2^{5576613282240} 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 5576613282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12372121681920).

5576613282240 is an abundant number, since it is smaller than the sum of its proper divisors (19167630081600).

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

5576613282240 is a wasteful number, since it uses less digits than its factorization.

5576613282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 5576613282240 in words is "five trillion, five hundred seventy-six billion, six hundred thirteen million, two hundred eighty-two thousand, two hundred forty".