561690125280 has 288 divisors, whose sum is σ = 1935163470240. Its totient is φ = 148351057920.

The previous prime is 561690125233. The next prime is 561690125291. The reversal of 561690125280 is 82521096165.

561690125280 is a `hidden beast` number, since 5 + 61 + 69 + 0 + 1 + 2 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107333544 + ... + 107338776.

It is an arithmetic number, because the mean of its divisors is an integer number (6719317605).

Almost surely, 2^561690125280 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 561690125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967581735120).

561690125280 is an abundant number, since it is smaller than the sum of its proper divisors (1373473344960).

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

561690125280 is a wasteful number, since it uses less digits than its factorization.

561690125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 561690125280 in words is "five hundred sixty-one billion, six hundred ninety million, one hundred twenty-five thousand, two hundred eighty".