56484844609600 has 1701 divisors, whose sum is σ = 172547803403703. Its totient is φ = 18181836288000.

The previous prime is 56484844609561. The next prime is 56484844609601. The reversal of 56484844609600 is 690644848465.

The square root of 56484844609600 is 7515640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 776414748736 + 55708429860864 = 881144^2 + 7463808^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (56484844609601) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1822091761585 + ... + 1822091761615.

Almost surely, 2^{56484844609600} is an apocalyptic number.

56484844609600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56484844609600 is the 7515640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56484844609600

56484844609600 is an abundant number, since it is smaller than the sum of its proper divisors (116062958794103).

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

56484844609600 is a wasteful number, since it uses less digits than its factorization.

56484844609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 64.

56484844609600 divided by its sum of digits (64) gives a square (882575697025 = 939455²).

The spelling of 56484844609600 in words is "fifty-six trillion, four hundred eighty-four billion, eight hundred forty-four million, six hundred nine thousand, six hundred".