971123276800 has 132 divisors (see below), whose sum is σ = 2410777626696. Its totient is φ = 387873587200.

The previous prime is 971123276777. The next prime is 971123276833. The reversal of 971123276800 is 8672321179.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17457030 + ... + 17512570.

Almost surely, 2^971123276800 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 971123276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205388813348).

971123276800 is an abundant number, since it is smaller than the sum of its proper divisors (1439654349896).

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

971123276800 is a wasteful number, since it uses less digits than its factorization.

971123276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56254 (or 56231 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

Adding to 971123276800 its reverse (8672321179), we get a palindrome (979795597979).

The spelling of 971123276800 in words is "nine hundred seventy-one billion, one hundred twenty-three million, two hundred seventy-six thousand, eight hundred".