561129984000 has 416 divisors, whose sum is σ = 2074731809280. Its totient is φ = 149630976000.

The previous prime is 561129983993. The next prime is 561129984043. The reversal of 561129984000 is 489921165.

561129984000 is a `hidden beast` number, since 5 + 611 + 29 + 9 + 8 + 4 + 0 + 0 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 13803705 + ... + 13844295.

It is an arithmetic number, because the mean of its divisors is an integer number (4987336080).

Almost surely, 2^561129984000 is an apocalyptic number.

561129984000 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 561129984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037365904640).

561129984000 is an abundant number, since it is smaller than the sum of its proper divisors (1513601825280).

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

561129984000 is an equidigital number, since it uses as much as digits as its factorization.

561129984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40639 (or 40601 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 561129984000 in words is "five hundred sixty-one billion, one hundred twenty-nine million, nine hundred eighty-four thousand".