5963686560 has 864 divisors, whose sum is σ = 24997714560. Its totient is φ = 1330255872.

The previous prime is 5963686543. The next prime is 5963686567. The reversal of 5963686560 is 656863695.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 5963686497 and 5963686506.

It is not an unprimeable number, because it can be changed into a prime (5963686567) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259290709 + ... + 259290731.

It is an arithmetic number, because the mean of its divisors is an integer number (28932540).

Almost surely, 2^5963686560 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 5963686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12498857280).

5963686560 is an abundant number, since it is smaller than the sum of its proper divisors (19034028000).

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

5963686560 is a wasteful number, since it uses less digits than its factorization.

5963686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The square root of 5963686560 is about 77224.9089348767. The cubic root of 5963686560 is about 1813.4472889506.

The spelling of 5963686560 in words is "five billion, nine hundred sixty-three million, six hundred eighty-six thousand, five hundred sixty".