562485253617200 has 240 divisors, whose sum is σ = 1382734415166720. Its totient is φ = 219846057984000.

The previous prime is 562485253617113. The next prime is 562485253617269. The reversal of 562485253617200 is 2716352584265.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188168545 + ... + 1188641855.

It is an arithmetic number, because the mean of its divisors is an integer number (5761393396528).

Almost surely, 2^{562485253617200} is an apocalyptic number.

562485253617200 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 562485253617200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691367207583360).

562485253617200 is an abundant number, since it is smaller than the sum of its proper divisors (820249161549520).

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

562485253617200 is a wasteful number, since it uses less digits than its factorization.

562485253617200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473816 (or 473805 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 56.

The spelling of 562485253617200 in words is "five hundred sixty-two trillion, four hundred eighty-five billion, two hundred fifty-three million, six hundred seventeen thousand, two hundred".