561749210256 has 240 divisors, whose sum is σ = 1626690361344. Its totient is φ = 166838870016.

The previous prime is 561749210251. The next prime is 561749210273. The reversal of 561749210256 is 652012947165.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (561749210251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38110920 + ... + 38125656.

Almost surely, 2^561749210256 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 561749210256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813345180672).

561749210256 is an abundant number, since it is smaller than the sum of its proper divisors (1064941151088).

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

561749210256 is a wasteful number, since it uses less digits than its factorization.

561749210256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14938 (or 14919 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 561749210256 in words is "five hundred sixty-one billion, seven hundred forty-nine million, two hundred ten thousand, two hundred fifty-six".