971537564160 has 480 divisors, whose sum is σ = 3590867884032. Its totient is φ = 241904517120.

The previous prime is 971537564147. The next prime is 971537564189. The reversal of 971537564160 is 61465735179.

971537564160 is a `hidden beast` number, since 9 + 7 + 1 + 537 + 5 + 6 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×971537564160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 971537564097 and 971537564106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49733595 + ... + 49753125.

Almost surely, 2^971537564160 is an apocalyptic number.

971537564160 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 971537564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795433942016).

971537564160 is an abundant number, since it is smaller than the sum of its proper divisors (2619330319872).

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

971537564160 is a wasteful number, since it uses less digits than its factorization.

971537564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19704 (or 19685 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 971537564160 in words is "nine hundred seventy-one billion, five hundred thirty-seven million, five hundred sixty-four thousand, one hundred sixty".