561525029856 has 576 divisors, whose sum is σ = 1973927854080. Its totient is φ = 153628876800.

The previous prime is 561525029851. The next prime is 561525029893. The reversal of 561525029856 is 658920525165.

It is a happy number.

561525029856 is a `hidden beast` number, since 5 + 6 + 1 + 52 + 502 + 9 + 85 + 6 = 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 (561525029851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200471656 + ... + 200474456.

It is an arithmetic number, because the mean of its divisors is an integer number (3426958080).

Almost surely, 2^561525029856 is an apocalyptic number.

561525029856 is a gapful number since it is divisible by the number (56) 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 561525029856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986963927040).

561525029856 is an abundant number, since it is smaller than the sum of its proper divisors (1412402824224).

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

561525029856 is a wasteful number, since it uses less digits than its factorization.

561525029856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 561525029856 in words is "five hundred sixty-one billion, five hundred twenty-five million, twenty-nine thousand, eight hundred fifty-six".