561343539749760 has 384 divisors, whose sum is σ = 2014169311365120. Its totient is φ = 143903485440000.

The previous prime is 561343539749753. The next prime is 561343539749779. The reversal of 561343539749760 is 67947935343165.

561343539749760 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 43 + 5 + 3 + 97 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16552875 + ... + 37372245.

It is an arithmetic number, because the mean of its divisors is an integer number (5245232581680).

Almost surely, 2^{561343539749760} 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 561343539749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007084655682560).

561343539749760 is an abundant number, since it is smaller than the sum of its proper divisors (1452825771615360).

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

561343539749760 is a wasteful number, since it uses less digits than its factorization.

561343539749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20819578 (or 20819563 counting only the distinct ones).

The product of its (nonzero) digits is 1543147200, while the sum is 72.

The spelling of 561343539749760 in words is "five hundred sixty-one trillion, three hundred forty-three billion, five hundred thirty-nine million, seven hundred forty-nine thousand, seven hundred sixty".