56117083104 has 144 divisors (see below), whose sum is σ = 163691826480. Its totient is φ = 18225285120.

The previous prime is 56117083103. The next prime is 56117083111. The reversal of 56117083104 is 40138071165.

56117083104 is a `hidden beast` number, since 5 + 611 + 7 + 0 + 8 + 31 + 0 + 4 = 666.

56117083104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×56117083104² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56117083103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10352907 + ... + 10358325.

It is an arithmetic number, because the mean of its divisors is an integer number (1136748795).

Almost surely, 2^56117083104 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 56117083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81845913240).

56117083104 is an abundant number, since it is smaller than the sum of its proper divisors (107574743376).

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

56117083104 is a wasteful number, since it uses less digits than its factorization.

56117083104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6342 counting only the distinct ones).

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

The spelling of 56117083104 in words is "fifty-six billion, one hundred seventeen million, eighty-three thousand, one hundred four".