2985971597568 has 216 divisors, whose sum is σ = 9067605718080. Its totient is φ = 942398115840.

The previous prime is 2985971597519. The next prime is 2985971597573. The reversal of 2985971597568 is 8657951795892.

2985971597568 is a `hidden beast` number, since 2 + 9 + 8 + 597 + 15 + 9 + 7 + 5 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80135230 + ... + 80172482.

Almost surely, 2^{2985971597568} 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 2985971597568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533802859040).

2985971597568 is an abundant number, since it is smaller than the sum of its proper divisors (6081634120512).

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

2985971597568 is a wasteful number, since it uses less digits than its factorization.

2985971597568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39125 (or 39108 counting only the distinct ones).

The product of its digits is 3429216000, while the sum is 81.

The spelling of 2985971597568 in words is "two trillion, nine hundred eighty-five billion, nine hundred seventy-one million, five hundred ninety-seven thousand, five hundred sixty-eight".