971862708960 has 576 divisors, whose sum is σ = 3918951481536. Its totient is φ = 216214732800.

The previous prime is 971862708941. The next prime is 971862708961. The reversal of 971862708960 is 69807268179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971862708961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35610520 + ... + 35637800.

It is an arithmetic number, because the mean of its divisors is an integer number (6803735211).

Almost surely, 2^971862708960 is an apocalyptic number.

971862708960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971862708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959475740768).

971862708960 is an abundant number, since it is smaller than the sum of its proper divisors (2947088772576).

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

971862708960 is a wasteful number, since it uses less digits than its factorization.

971862708960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27499 (or 27488 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 971862708960 in words is "nine hundred seventy-one billion, eight hundred sixty-two million, seven hundred eight thousand, nine hundred sixty".