971039784960 has 960 divisors, whose sum is σ = 4016342937600. Its totient is φ = 217984794624.

The previous prime is 971039784941. The next prime is 971039784989. The reversal of 971039784960 is 69487930179.

971039784960 is a `hidden beast` number, since 9 + 71 + 0 + 3 + 9 + 78 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 913489389 + ... + 913490451.

It is an arithmetic number, because the mean of its divisors is an integer number (4183690560).

Almost surely, 2^971039784960 is an apocalyptic number.

971039784960 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 971039784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008171468800).

971039784960 is an abundant number, since it is smaller than the sum of its proper divisors (3045303152640).

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

971039784960 is a wasteful number, since it uses less digits than its factorization.

971039784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 971039784960 in words is "nine hundred seventy-one billion, thirty-nine million, seven hundred eighty-four thousand, nine hundred sixty".