971533854720 has 960 divisors, whose sum is σ = 4091567800320. Its totient is φ = 217379635200.

The previous prime is 971533854689. The next prime is 971533854751. The reversal of 971533854720 is 27458335179.

971533854720 is a `hidden beast` number, since 9 + 7 + 1 + 533 + 85 + 4 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (971533854689) and next prime (971533854751).

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118605825 + ... + 118614015.

It is an arithmetic number, because the mean of its divisors is an integer number (4262049792).

Almost surely, 2^971533854720 is an apocalyptic number.

971533854720 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 971533854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045783900160).

971533854720 is an abundant number, since it is smaller than the sum of its proper divisors (3120033945600).

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

971533854720 is a wasteful number, since it uses less digits than its factorization.

971533854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 971533854720 in words is "nine hundred seventy-one billion, five hundred thirty-three million, eight hundred fifty-four thousand, seven hundred twenty".