56466042192 has 420 divisors, whose sum is σ = 197026663296. Its totient is φ = 15607831680.

The previous prime is 56466042179. The next prime is 56466042209. The reversal of 56466042192 is 29124066465.

56466042192 is a `hidden beast` number, since 564 + 6 + 60 + 4 + 21 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 17716023 + ... + 17719209.

Almost surely, 2^56466042192 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 56466042192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98513331648).

56466042192 is an abundant number, since it is smaller than the sum of its proper divisors (140560621104).

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

56466042192 is a wasteful number, since it uses less digits than its factorization.

56466042192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 56466042192 in words is "fifty-six billion, four hundred sixty-six million, forty-two thousand, one hundred ninety-two".