561986740224 has 1120 divisors, whose sum is σ = 2126086655616. Its totient is φ = 143964241920.

The previous prime is 561986740043. The next prime is 561986740297. The reversal of 561986740224 is 422047689165.

561986740224 is a `hidden beast` number, since 561 + 9 + 8 + 6 + 74 + 0 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2475712399 + ... + 2475712625.

Almost surely, 2^561986740224 is an apocalyptic number.

561986740224 is a gapful number since it is divisible by the number (54) 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 561986740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063043327808).

561986740224 is an abundant number, since it is smaller than the sum of its proper divisors (1564099915392).

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

561986740224 is a wasteful number, since it uses less digits than its factorization.

561986740224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 561986740224 in words is "five hundred sixty-one billion, nine hundred eighty-six million, seven hundred forty thousand, two hundred twenty-four".