5695824960 has 448 divisors, whose sum is σ = 23534461440. Its totient is φ = 1269596160.

The previous prime is 5695824931. The next prime is 5695824961. The reversal of 5695824960 is 694285965.

It is a happy number.

5695824960 is a `hidden beast` number, since 56 + 9 + 582 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 5695824897 and 5695824906.

It is not an unprimeable number, because it can be changed into a prime (5695824961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2478532 + ... + 2480828.

It is an arithmetic number, because the mean of its divisors is an integer number (52532280).

Almost surely, 2^5695824960 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 5695824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11767230720).

5695824960 is an abundant number, since it is smaller than the sum of its proper divisors (17838636480).

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

5695824960 is a wasteful number, since it uses less digits than its factorization.

5695824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2355 counting only the distinct ones).

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

The square root of 5695824960 is about 75470.6894098630. The cubic root of 5695824960 is about 1785.8797442969.

It can be divided in two parts, 56958 and 24960, that added together give a palindrome (81918).

The spelling of 5695824960 in words is "five billion, six hundred ninety-five million, eight hundred twenty-four thousand, nine hundred sixty".