561153600 has 504 divisors, whose sum is σ = 2407554240. Its totient is φ = 121098240.

The previous prime is 561153583. The next prime is 561153601. The reversal of 561153600 is 6351165.

It is a happy number.

561153600 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (561153601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915054 + ... + 1915346.

Almost surely, 2^561153600 is an apocalyptic number.

561153600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203777120).

561153600 is an abundant number, since it is smaller than the sum of its proper divisors (1846400640).

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

561153600 is a wasteful number, since it uses less digits than its factorization.

561153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 561153600 is about 23688.6808412794. The cubic root of 561153600 is about 824.8226616074.

The spelling of 561153600 in words is "five hundred sixty-one million, one hundred fifty-three thousand, six hundred".