561736142100 has 360 divisors, whose sum is σ = 2123540126400. Its totient is φ = 128396197440.

The previous prime is 561736142047. The next prime is 561736142129. The reversal of 561736142100 is 1241637165.

561736142100 is a `hidden beast` number, since 5 + 6 + 17 + 3 + 614 + 21 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2677207 + ... + 2879393.

Almost surely, 2^561736142100 is an apocalyptic number.

561736142100 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 561736142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061770063200).

561736142100 is an abundant number, since it is smaller than the sum of its proper divisors (1561803984300).

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

561736142100 is a wasteful number, since it uses less digits than its factorization.

561736142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202234 (or 202204 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 561736142100 its reverse (1241637165), we get a palindrome (562977779265).

The spelling of 561736142100 in words is "five hundred sixty-one billion, seven hundred thirty-six million, one hundred forty-two thousand, one hundred".