56730076200 has 288 divisors, whose sum is σ = 218960539200. Its totient is φ = 12893921280.

The previous prime is 56730076111. The next prime is 56730076231. The reversal of 56730076200 is 267003765.

It is a happy number.

56730076200 is a `hidden beast` number, since 567 + 3 + 0 + 0 + 76 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2242824 + ... + 2267976.

It is an arithmetic number, because the mean of its divisors is an integer number (760279650).

Almost surely, 2^56730076200 is an apocalyptic number.

56730076200 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 56730076200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109480269600).

56730076200 is an abundant number, since it is smaller than the sum of its proper divisors (162230463000).

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

56730076200 is a wasteful number, since it uses less digits than its factorization.

56730076200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25361 (or 25349 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 56730076200 its reverse (267003765), we get a palindrome (56997079965).

The spelling of 56730076200 in words is "fifty-six billion, seven hundred thirty million, seventy-six thousand, two hundred".