561513833835600 has 240 divisors, whose sum is σ = 1819241191022400. Its totient is φ = 148028950671360.

The previous prime is 561513833835467. The next prime is 561513833835601. The reversal of 561513833835600 is 6538338315165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561513833835601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620376171 + ... + 621280629.

It is an arithmetic number, because the mean of its divisors is an integer number (7580171629260).

Almost surely, 2^{561513833835600} is an apocalyptic number.

561513833835600 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 561513833835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909620595511200).

561513833835600 is an abundant number, since it is smaller than the sum of its proper divisors (1257727357186800).

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

561513833835600 is a wasteful number, since it uses less digits than its factorization.

561513833835600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910382 (or 910371 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 561513833835600 in words is "five hundred sixty-one trillion, five hundred thirteen billion, eight hundred thirty-three million, eight hundred thirty-five thousand, six hundred".