561745379520 has 336 divisors, whose sum is σ = 2085664238112. Its totient is φ = 137952460800.

The previous prime is 561745379479. The next prime is 561745379527. The reversal of 561745379520 is 25973547165.

It is a happy number.

561745379520 is a `hidden beast` number, since 5 + 6 + 1 + 7 + 45 + 3 + 79 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (561745379527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16194195 + ... + 16228845.

It is an arithmetic number, because the mean of its divisors is an integer number (6207334042).

Almost surely, 2^561745379520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561745379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042832119056).

561745379520 is an abundant number, since it is smaller than the sum of its proper divisors (1523918858592).

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

561745379520 is a wasteful number, since it uses less digits than its factorization.

561745379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35120 (or 35107 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 561745379520 in words is "five hundred sixty-one billion, seven hundred forty-five million, three hundred seventy-nine thousand, five hundred twenty".