561664551521152 has 128 divisors (see below), whose sum is σ = 1211373012326400. Its totient is φ = 258637358622720.

The previous prime is 561664551521111. The next prime is 561664551521179. The reversal of 561664551521152 is 251125155466165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 561664551521093 and 561664551521102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2358999 + ... + 33599017.

It is an arithmetic number, because the mean of its divisors is an integer number (9463851658800).

Almost surely, 2^{561664551521152} 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 561664551521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605686506163200).

561664551521152 is an abundant number, since it is smaller than the sum of its proper divisors (649708460805248).

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

561664551521152 is a wasteful number, since it uses less digits than its factorization.

561664551521152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31240284 (or 31240272 counting only the distinct ones).

The product of its digits is 10800000, while the sum is 55.

The spelling of 561664551521152 in words is "five hundred sixty-one trillion, six hundred sixty-four billion, five hundred fifty-one million, five hundred twenty-one thousand, one hundred fifty-two".