561350054300 has 432 divisors, whose sum is σ = 1560095147520. Its totient is φ = 171344954880.

The previous prime is 561350054297. The next prime is 561350054329. The reversal of 561350054300 is 3450053165.

It is a super-2 number, since 2×561350054300² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342913082 + ... + 342914718.

It is an arithmetic number, because the mean of its divisors is an integer number (3611331360).

Almost surely, 2^561350054300 is an apocalyptic number.

561350054300 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 561350054300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780047573760).

561350054300 is an abundant number, since it is smaller than the sum of its proper divisors (998745093220).

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

561350054300 is a wasteful number, since it uses less digits than its factorization.

561350054300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 561350054300 in words is "five hundred sixty-one billion, three hundred fifty million, fifty-four thousand, three hundred".