971591362560 has 2304 divisors, whose sum is σ = 4504431859200. Its totient is φ = 193396211712.

The previous prime is 971591362549. The next prime is 971591362571. The reversal of 971591362560 is 65263195179.

971591362560 is a `hidden beast` number, since 9 + 7 + 1 + 5 + 9 + 1 + 3 + 625 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (971591362549) and next prime (971591362571).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 971591362497 and 971591362506.

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 191 ways as a sum of consecutive naturals, for example, 13309470684 + ... + 13309470756.

It is an arithmetic number, because the mean of its divisors is an integer number (1955048550).

Almost surely, 2^971591362560 is an apocalyptic number.

971591362560 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 971591362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252215929600).

971591362560 is an abundant number, since it is smaller than the sum of its proper divisors (3532840496640).

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

971591362560 is a wasteful number, since it uses less digits than its factorization.

971591362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 971591362560 in words is "nine hundred seventy-one billion, five hundred ninety-one million, three hundred sixty-two thousand, five hundred sixty".