561059699400 has 288 divisors, whose sum is σ = 1893729240000. Its totient is φ = 148863536640.

The previous prime is 561059699399. The next prime is 561059699419. The reversal of 561059699400 is 4996950165.

561059699400 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 596 + 9 + 9 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 408637114 + ... + 408638486.

It is an arithmetic number, because the mean of its divisors is an integer number (6575448750).

Almost surely, 2^561059699400 is an apocalyptic number.

561059699400 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 561059699400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946864620000).

561059699400 is an abundant number, since it is smaller than the sum of its proper divisors (1332669540600).

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

561059699400 is a wasteful number, since it uses less digits than its factorization.

561059699400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 561059699400 in words is "five hundred sixty-one billion, fifty-nine million, six hundred ninety-nine thousand, four hundred".