562523460480 has 1792 divisors, whose sum is σ = 2311773696000. Its totient is φ = 130069463040.

The previous prime is 562523460451. The next prime is 562523460481. The reversal of 562523460480 is 84064325265.

562523460480 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 2 + 34 + 604 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562523460481) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6320488276 + ... + 6320488364.

Almost surely, 2^562523460480 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 562523460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155886848000).

562523460480 is an abundant number, since it is smaller than the sum of its proper divisors (1749250235520).

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

562523460480 is a wasteful number, since it uses less digits than its factorization.

562523460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 562523460480 in words is "five hundred sixty-two billion, five hundred twenty-three million, four hundred sixty thousand, four hundred eighty".