56541619200 has 1056 divisors, whose sum is σ = 224570769408. Its totient is φ = 12386304000.

The previous prime is 56541619181. The next prime is 56541619207. The reversal of 56541619200 is 291614565.

It is a tau number, because it is divible by the number of its divisors (1056).

It is not an unprimeable number, because it can be changed into a prime (56541619207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445209537 + ... + 445209663.

Almost surely, 2^56541619200 is an apocalyptic number.

56541619200 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 56541619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112285384704).

56541619200 is an abundant number, since it is smaller than the sum of its proper divisors (168029150208).

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

56541619200 is a wasteful number, since it uses less digits than its factorization.

56541619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 56541619200 in words is "fifty-six billion, five hundred forty-one million, six hundred nineteen thousand, two hundred".