5975861760 has 960 divisors, whose sum is σ = 25508545920. Its totient is φ = 1274019840.

The previous prime is 5975861719. The next prime is 5975861761. The reversal of 5975861760 is 671685795.

5975861760 is a `hidden beast` number, since 59 + 7 + 586 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 5975861697 and 5975861706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5975861761) 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, 81861084 + ... + 81861156.

It is an arithmetic number, because the mean of its divisors is an integer number (26571402).

Almost surely, 2^5975861760 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 5975861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754272960).

5975861760 is an abundant number, since it is smaller than the sum of its proper divisors (19532684160).

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

5975861760 is a wasteful number, since it uses less digits than its factorization.

5975861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5975861760 is about 77303.6982297742. The cubic root of 5975861760 is about 1814.6805348073.

The spelling of 5975861760 in words is "five billion, nine hundred seventy-five million, eight hundred sixty-one thousand, seven hundred sixty".