971271683460 has 576 divisors, whose sum is σ = 3284878012416. Its totient is φ = 230822092800.

The previous prime is 971271683387. The next prime is 971271683509. The reversal of 971271683460 is 64386172179.

971271683460 is a `hidden beast` number, since 9 + 7 + 12 + 7 + 168 + 3 + 460 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 971271683397 and 971271683406.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3103104264 + ... + 3103104576.

It is an arithmetic number, because the mean of its divisors is an integer number (5702913216).

Almost surely, 2^971271683460 is an apocalyptic number.

971271683460 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 971271683460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642439006208).

971271683460 is an abundant number, since it is smaller than the sum of its proper divisors (2313606328956).

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

971271683460 is a wasteful number, since it uses less digits than its factorization.

971271683460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 971271683460 in words is "nine hundred seventy-one billion, two hundred seventy-one million, six hundred eighty-three thousand, four hundred sixty".