5895970560 has 720 divisors, whose sum is σ = 23060489760. Its totient is φ = 1433272320.

The previous prime is 5895970559. The next prime is 5895970573. The reversal of 5895970560 is 650795985.

It is a happy number.

5895970560 is a `hidden beast` number, since 5 + 8 + 9 + 5 + 9 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 5895970497 and 5895970506.

It is a congruent number.

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, 80766684 + ... + 80766756.

It is an arithmetic number, because the mean of its divisors is an integer number (32028458).

Almost surely, 2^5895970560 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 5895970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530244880).

5895970560 is an abundant number, since it is smaller than the sum of its proper divisors (17164519200).

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

5895970560 is a wasteful number, since it uses less digits than its factorization.

5895970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The square root of 5895970560 is about 76785.2235784985. The cubic root of 5895970560 is about 1806.5574156025.

The spelling of 5895970560 in words is "five billion, eight hundred ninety-five million, nine hundred seventy thousand, five hundred sixty".