56168449171200 has 324 divisors, whose sum is σ = 201393671599848. Its totient is φ = 14935082803200.

The previous prime is 56168449171199. The next prime is 56168449171253. The reversal of 56168449171200 is 217194486165.

56168449171200 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 8 + 449 + 171 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18582090 + ... + 21392310.

Almost surely, 2^{56168449171200} is an apocalyptic number.

56168449171200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56168449171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100696835799924).

56168449171200 is an abundant number, since it is smaller than the sum of its proper divisors (145225222428648).

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

56168449171200 is a wasteful number, since it uses less digits than its factorization.

56168449171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810600 (or 2810578 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 56168449171200 in words is "fifty-six trillion, one hundred sixty-eight billion, four hundred forty-nine million, one hundred seventy-one thousand, two hundred".