562262722560 has 1728 divisors, whose sum is σ = 2563008739200. Its totient is φ = 116833812480.

The previous prime is 562262722543. The next prime is 562262722573. The reversal of 562262722560 is 65227262265.

562262722560 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 62 + 7 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×562262722560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 51114792955 + ... + 51114792965.

It is an arithmetic number, because the mean of its divisors is an integer number (1483222650).

Almost surely, 2^562262722560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562262722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281504369600).

562262722560 is an abundant number, since it is smaller than the sum of its proper divisors (2000746016640).

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

562262722560 is an frugal number, since it uses more digits than its factorization.

562262722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 562262722560 in words is "five hundred sixty-two billion, two hundred sixty-two million, seven hundred twenty-two thousand, five hundred sixty".