5617110308040 has 2304 divisors, whose sum is σ = 24972262156800. Its totient is φ = 1112241715200.

The previous prime is 5617110307957. The next prime is 5617110308053. The reversal of 5617110308040 is 408030117165.

5617110308040 is a `hidden beast` number, since 5 + 617 + 1 + 1 + 0 + 30 + 8 + 0 + 4 + 0 = 666.

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 = 5617110307986 and 5617110308004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 130630472259 + ... + 130630472301.

It is an arithmetic number, because the mean of its divisors is an integer number (10838655450).

Almost surely, 2^{5617110308040} 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 5617110308040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12486131078400).

5617110308040 is an abundant number, since it is smaller than the sum of its proper divisors (19355151848760).

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

5617110308040 is a wasteful number, since it uses less digits than its factorization.

5617110308040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 5617110308040 in words is "five trillion, six hundred seventeen billion, one hundred ten million, three hundred eight thousand, forty".