5971462560 has 576 divisors, whose sum is σ = 24845812992. Its totient is φ = 1325776896.

The previous prime is 5971462547. The next prime is 5971462631. The reversal of 5971462560 is 652641795.

5971462560 is a `hidden beast` number, since 5 + 9 + 7 + 14 + 625 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10069624 + ... + 10070216.

It is an arithmetic number, because the mean of its divisors is an integer number (43135092).

Almost surely, 2^5971462560 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 5971462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422906496).

5971462560 is an abundant number, since it is smaller than the sum of its proper divisors (18874350432).

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

5971462560 is a wasteful number, since it uses less digits than its factorization.

5971462560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5971462560 is about 77275.2389837780. The cubic root of 5971462560 is about 1814.2351261119.

The spelling of 5971462560 in words is "five billion, nine hundred seventy-one million, four hundred sixty-two thousand, five hundred sixty".