561672558720 has 1920 divisors, whose sum is σ = 2558157441840. Its totient is φ = 116381712384.

The previous prime is 561672558701. The next prime is 561672558737. The reversal of 561672558720 is 27855276165.

561672558720 is a `hidden beast` number, since 5 + 6 + 1 + 67 + 2 + 558 + 7 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 82819630656 + 478852928064 = 287784^2 + 691992^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2410611724 + ... + 2410611956.

Almost surely, 2^561672558720 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 561672558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279078720920).

561672558720 is an abundant number, since it is smaller than the sum of its proper divisors (1996484883120).

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

561672558720 is a wasteful number, since it uses less digits than its factorization.

561672558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 561672558720 in words is "five hundred sixty-one billion, six hundred seventy-two million, five hundred fifty-eight thousand, seven hundred twenty".