561523700160 has 672 divisors, whose sum is σ = 2124701010432. Its totient is φ = 140853841920.

The previous prime is 561523700149. The next prime is 561523700161. The reversal of 561523700160 is 61007325165.

561523700160 is a `hidden beast` number, since 5 + 6 + 1 + 523 + 70 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561523700161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109094707 + ... + 109099853.

It is an arithmetic number, because the mean of its divisors is an integer number (3161757456).

Almost surely, 2^561523700160 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 561523700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062350505216).

561523700160 is an abundant number, since it is smaller than the sum of its proper divisors (1563177310272).

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

561523700160 is a wasteful number, since it uses less digits than its factorization.

561523700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 561523700160 in words is "five hundred sixty-one billion, five hundred twenty-three million, seven hundred thousand, one hundred sixty".