56496703200 has 288 divisors, whose sum is σ = 219306963456. Its totient is φ = 12351989760.

The previous prime is 56496703189. The next prime is 56496703201. The reversal of 56496703200 is 230769465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56496703201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313294 + ... + 459506.

It is an arithmetic number, because the mean of its divisors is an integer number (761482512).

Almost surely, 2^56496703200 is an apocalyptic number.

56496703200 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 56496703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109653481728).

56496703200 is an abundant number, since it is smaller than the sum of its proper divisors (162810260256).

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

56496703200 is a wasteful number, since it uses less digits than its factorization.

56496703200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146266 (or 146253 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 56496703200 in words is "fifty-six billion, four hundred ninety-six million, seven hundred three thousand, two hundred".