56649436313600 has 288 divisors, whose sum is σ = 156476570796000. Its totient is φ = 20195442032640.

The previous prime is 56649436313593. The next prime is 56649436313609. The reversal of 56649436313600 is 631363494665.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56649436313609) 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 23 ways as a sum of consecutive naturals, for example, 17834981 + ... + 20769819.

It is an arithmetic number, because the mean of its divisors is an integer number (543321426375).

Almost surely, 2^{56649436313600} is an apocalyptic number.

56649436313600 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 56649436313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78238285398000).

56649436313600 is an abundant number, since it is smaller than the sum of its proper divisors (99827134482400).

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

56649436313600 is a wasteful number, since it uses less digits than its factorization.

56649436313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934913 (or 2934888 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 56.

The spelling of 56649436313600 in words is "fifty-six trillion, six hundred forty-nine billion, four hundred thirty-six million, three hundred thirteen thousand, six hundred".