5609239511040 has 1024 divisors, whose sum is σ = 22905583488000. Its totient is φ = 1288034058240.

The previous prime is 5609239511011. The next prime is 5609239511041. The reversal of 5609239511040 is 401159329065.

5609239511040 is a `hidden beast` number, since 5 + 6 + 0 + 92 + 3 + 9 + 511 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is not an unprimeable number, because it can be changed into a prime (5609239511041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924546087 + ... + 924552153.

It is an arithmetic number, because the mean of its divisors is an integer number (22368733875).

Almost surely, 2^{5609239511040} 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 5609239511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11452791744000).

5609239511040 is an abundant number, since it is smaller than the sum of its proper divisors (17296343976960).

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

5609239511040 is a wasteful number, since it uses less digits than its factorization.

5609239511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 5609239511040 in words is "five trillion, six hundred nine billion, two hundred thirty-nine million, five hundred eleven thousand, forty".