5971680288 has 288 divisors, whose sum is σ = 20781895680. Its totient is φ = 1650689280.

The previous prime is 5971680241. The next prime is 5971680293. The reversal of 5971680288 is 8820861795.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685623 + ... + 1689161.

It is an arithmetic number, because the mean of its divisors is an integer number (72159360).

Almost surely, 2^5971680288 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 5971680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10390947840).

5971680288 is an abundant number, since it is smaller than the sum of its proper divisors (14810215392).

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

5971680288 is a wasteful number, since it uses less digits than its factorization.

5971680288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 5971680288 is about 77276.6477533802. The cubic root of 5971680288 is about 1814.2571757064.

The spelling of 5971680288 in words is "five billion, nine hundred seventy-one million, six hundred eighty thousand, two hundred eighty-eight".