5600612309040 has 560 divisors, whose sum is σ = 22488128667648. Its totient is φ = 1270048356864.

The previous prime is 5600612308937. The next prime is 5600612309053. The reversal of 5600612309040 is 409032160065.

It is a happy number.

5600612309040 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 612 + 30 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5600612308986 and 5600612309004.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51792469 + ... + 51900491.

Almost surely, 2^{5600612309040} 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 5600612309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11244064333824).

5600612309040 is an abundant number, since it is smaller than the sum of its proper divisors (16887516358608).

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

5600612309040 is a wasteful number, since it uses less digits than its factorization.

5600612309040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108188 (or 108167 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 5600612309040 in words is "five trillion, six hundred billion, six hundred twelve million, three hundred nine thousand, forty".