562273536000 has 1536 divisors, whose sum is σ = 2237198745600. Its totient is φ = 123863040000.

The previous prime is 562273535939. The next prime is 562273536023. The reversal of 562273536000 is 635372265.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 562273536000.

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 127 ways as a sum of consecutive naturals, for example, 4975871944 + ... + 4975872056.

It is an arithmetic number, because the mean of its divisors is an integer number (1456509600).

Almost surely, 2^562273536000 is an apocalyptic number.

562273536000 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 562273536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118599372800).

562273536000 is an abundant number, since it is smaller than the sum of its proper divisors (1674925209600).

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

562273536000 is a wasteful number, since it uses less digits than its factorization.

562273536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 562273536000 in words is "five hundred sixty-two billion, two hundred seventy-three million, five hundred thirty-six thousand".