971855542320 has 320 divisors, whose sum is σ = 3358978761600. Its totient is φ = 230798131200.

The previous prime is 971855542313. The next prime is 971855542387. The reversal of 971855542320 is 23245558179.

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 63 ways as a sum of consecutive naturals, for example, 144855126 + ... + 144861834.

It is an arithmetic number, because the mean of its divisors is an integer number (10496808630).

Almost surely, 2^971855542320 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 971855542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679489380800).

971855542320 is an abundant number, since it is smaller than the sum of its proper divisors (2387123219280).

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

971855542320 is a wasteful number, since it uses less digits than its factorization.

971855542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 971855542320 in words is "nine hundred seventy-one billion, eight hundred fifty-five million, five hundred forty-two thousand, three hundred twenty".