561130675200 has 660 divisors, whose sum is σ = 2085855449832. Its totient is φ = 149055897600.

The previous prime is 561130675177. The next prime is 561130675207. The reversal of 561130675200 is 2576031165.

561130675200 is a `hidden beast` number, since 5 + 61 + 13 + 0 + 67 + 520 + 0 = 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 (561130675207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 955929307 + ... + 955929893.

Almost surely, 2^561130675200 is an apocalyptic number.

561130675200 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 561130675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042927724916).

561130675200 is an abundant number, since it is smaller than the sum of its proper divisors (1524724774632).

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

561130675200 is a wasteful number, since it uses less digits than its factorization.

561130675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1058 counting only the distinct ones).

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

The spelling of 561130675200 in words is "five hundred sixty-one billion, one hundred thirty million, six hundred seventy-five thousand, two hundred".