971298007680 has 3072 divisors, whose sum is σ = 4579638497280. Its totient is φ = 171674173440.

The previous prime is 971298007661. The next prime is 971298007697. The reversal of 971298007680 is 86700892179.

It is a self number, because there is not a number n which added to its sum of digits gives 971298007680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13305452124 + ... + 13305452196.

It is an arithmetic number, because the mean of its divisors is an integer number (1490767740).

Almost surely, 2^971298007680 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 971298007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289819248640).

971298007680 is an abundant number, since it is smaller than the sum of its proper divisors (3608340489600).

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

971298007680 is a wasteful number, since it uses less digits than its factorization.

971298007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 971298007680 in words is "nine hundred seventy-one billion, two hundred ninety-eight million, seven thousand, six hundred eighty".