965721922560 has 264 divisors, whose sum is σ = 3347732349936. Its totient is φ = 257408040960.

The previous prime is 965721922513. The next prime is 965721922567. The reversal of 965721922560 is 65229127569.

965721922560 is a `hidden beast` number, since 9 + 6 + 5 + 72 + 1 + 9 + 2 + 2 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 965721922497 and 965721922506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965721922567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155332572 + ... + 155338788.

Almost surely, 2^965721922560 is an apocalyptic number.

965721922560 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 965721922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673866174968).

965721922560 is an abundant number, since it is smaller than the sum of its proper divisors (2382010427376).

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

965721922560 is a wasteful number, since it uses less digits than its factorization.

965721922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9619 (or 9598 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 965721922560 in words is "nine hundred sixty-five billion, seven hundred twenty-one million, nine hundred twenty-two thousand, five hundred sixty".