562361978880 has 1040 divisors, whose sum is σ = 2202882953040. Its totient is φ = 136405057536.

The previous prime is 562361978869. The next prime is 562361978887. The reversal of 562361978880 is 88879163265.

562361978880 is a `hidden beast` number, since 5 + 6 + 2 + 3 + 619 + 7 + 8 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13672157184 + 548689821696 = 116928^2 + 740736^2 .

It is a tau number, because it is divible by the number of its divisors (1040).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562361978887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1919324014 + ... + 1919324306.

Almost surely, 2^562361978880 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 562361978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101441476520).

562361978880 is an abundant number, since it is smaller than the sum of its proper divisors (1640520974160).

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

562361978880 is a wasteful number, since it uses less digits than its factorization.

562361978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 562361978880 in words is "five hundred sixty-two billion, three hundred sixty-one million, nine hundred seventy-eight thousand, eight hundred eighty".