561372925680 has 320 divisors, whose sum is σ = 2254950912000. Its totient is φ = 128313642240.

The previous prime is 561372925577. The next prime is 561372925681. The reversal of 561372925680 is 86529273165.

561372925680 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 72 + 9 + 2 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561372925681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362025 + ... + 1119735.

It is an arithmetic number, because the mean of its divisors is an integer number (7046721600).

Almost surely, 2^561372925680 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 561372925680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127475456000).

561372925680 is an abundant number, since it is smaller than the sum of its proper divisors (1693577986320).

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

561372925680 is a wasteful number, since it uses less digits than its factorization.

561372925680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757754 (or 757728 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 561372925680 in words is "five hundred sixty-one billion, three hundred seventy-two million, nine hundred twenty-five thousand, six hundred eighty".