56141673600 has 192 divisors, whose sum is σ = 185697936000. Its totient is φ = 14907863040.

The previous prime is 56141673593. The next prime is 56141673619. The reversal of 56141673600 is 637614165.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2282166 + ... + 2306634.

It is an arithmetic number, because the mean of its divisors is an integer number (967176750).

Almost surely, 2^56141673600 is an apocalyptic number.

56141673600 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 56141673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92848968000).

56141673600 is an abundant number, since it is smaller than the sum of its proper divisors (129556262400).

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

56141673600 is a wasteful number, since it uses less digits than its factorization.

56141673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24735 (or 24718 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 56141673600 in words is "fifty-six billion, one hundred forty-one million, six hundred seventy-three thousand, six hundred".