561287688192 has 1040 divisors, whose sum is σ = 2119106322432. Its totient is φ = 143804989440.

The previous prime is 561287688083. The next prime is 561287688217. The reversal of 561287688192 is 291886782165.

561287688192 is a `hidden beast` number, since 5 + 612 + 8 + 7 + 6 + 8 + 8 + 1 + 9 + 2 = 666.

561287688192 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3244437418 + ... + 3244437590.

Almost surely, 2^561287688192 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 561287688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059553161216).

561287688192 is an abundant number, since it is smaller than the sum of its proper divisors (1557818634240).

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

561287688192 is a wasteful number, since it uses less digits than its factorization.

561287688192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 323 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 561287688192 in words is "five hundred sixty-one billion, two hundred eighty-seven million, six hundred eighty-eight thousand, one hundred ninety-two".