561093611520 has 1248 divisors, whose sum is σ = 2164465328256. Its totient is φ = 122872135680.

The previous prime is 561093611497. The next prime is 561093611521. The reversal of 561093611520 is 25116390165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (561093611521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13048688619 + ... + 13048688661.

Almost surely, 2^561093611520 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 561093611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082232664128).

561093611520 is an abundant number, since it is smaller than the sum of its proper divisors (1603371716736).

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

561093611520 is a wasteful number, since it uses less digits than its factorization.

561093611520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 561093611520 in words is "five hundred sixty-one billion, ninety-three million, six hundred eleven thousand, five hundred twenty".