561358548000 has 288 divisors, whose sum is σ = 2016275369472. Its totient is φ = 147891264000.

The previous prime is 561358547987. The next prime is 561358548017. The reversal of 561358548000 is 845853165.

561358548000 is a `hidden beast` number, since 5 + 61 + 3 + 585 + 4 + 8 + 0 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2894065 + ... + 3081935.

It is an arithmetic number, because the mean of its divisors is an integer number (7000956144).

Almost surely, 2^561358548000 is an apocalyptic number.

561358548000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561358548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008137684736).

561358548000 is an abundant number, since it is smaller than the sum of its proper divisors (1454916821472).

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

561358548000 is a wasteful number, since it uses less digits than its factorization.

561358548000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187985 (or 187964 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 561358548000 in words is "five hundred sixty-one billion, three hundred fifty-eight million, five hundred forty-eight thousand".