561094654072320 has 1440 divisors, whose sum is σ = 2095334622501120. Its totient is φ = 143938522644480.

The previous prime is 561094654072273. The next prime is 561094654072327. The reversal of 561094654072320 is 23270456490165.

It is a happy number.

561094654072320 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 9 + 4 + 6 + 540 + 72 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (561094654072327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90077802966 + ... + 90077809194.

It is an arithmetic number, because the mean of its divisors is an integer number (1455093487848).

Almost surely, 2^{561094654072320} 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 561094654072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047667311250560).

561094654072320 is an abundant number, since it is smaller than the sum of its proper divisors (1534239968428800).

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

561094654072320 is an frugal number, since it uses more digits than its factorization.

561094654072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 561094654072320 in words is "five hundred sixty-one trillion, ninety-four billion, six hundred fifty-four million, seventy-two thousand, three hundred twenty".