971565226560 has 896 divisors, whose sum is σ = 3762704793600. Its totient is φ = 234937221120.

The previous prime is 971565226547. The next prime is 971565226627. The reversal of 971565226560 is 65622565179.

971565226560 is a `hidden beast` number, since 9 + 7 + 1 + 5 + 6 + 52 + 26 + 560 = 666.

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 = 971565226497 and 971565226506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1725692839 + ... + 1725693401.

Almost surely, 2^971565226560 is an apocalyptic number.

971565226560 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 971565226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881352396800).

971565226560 is an abundant number, since it is smaller than the sum of its proper divisors (2791139567040).

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

971565226560 is a wasteful number, since it uses less digits than its factorization.

971565226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 971565226560 in words is "nine hundred seventy-one billion, five hundred sixty-five million, two hundred twenty-six thousand, five hundred sixty".