561958614360 has 384 divisors, whose sum is σ = 2271879005760. Its totient is φ = 118355558400.

The previous prime is 561958614307. The next prime is 561958614367. The reversal of 561958614360 is 63416859165.

561958614360 is a `hidden beast` number, since 5 + 6 + 19 + 5 + 8 + 614 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×561958614360² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 561958614297 and 561958614306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561958614367) 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, 554100 + ... + 1196220.

Almost surely, 2^561958614360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561958614360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135939502880).

561958614360 is an abundant number, since it is smaller than the sum of its proper divisors (1709920391400).

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

561958614360 is a wasteful number, since it uses less digits than its factorization.

561958614360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642179 (or 642172 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 561958614360 in words is "five hundred sixty-one billion, nine hundred fifty-eight million, six hundred fourteen thousand, three hundred sixty".