561456027632556 has 144 divisors (see below), whose sum is σ = 1634510490220608. Its totient is φ = 159181869772800.

The previous prime is 561456027632551. The next prime is 561456027632567. The reversal of 561456027632556 is 655236720654165.

561456027632556 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 5 + 6 + 0 + 2 + 76 + 3 + 2 + 556 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 561456027632493 and 561456027632502.

It is not an unprimeable number, because it can be changed into a prime (561456027632551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615846 + ... + 33515538.

Almost surely, 2^{561456027632556} 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 561456027632556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817255245110304).

561456027632556 is an abundant number, since it is smaller than the sum of its proper divisors (1073054462588052).

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

561456027632556 is a wasteful number, since it uses less digits than its factorization.

561456027632556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32900232 (or 32900227 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 63.

The spelling of 561456027632556 in words is "five hundred sixty-one trillion, four hundred fifty-six billion, twenty-seven million, six hundred thirty-two thousand, five hundred fifty-six".