9921467522560 has 480 divisors, whose sum is σ = 26923145933376. Its totient is φ = 3501283737600.

The previous prime is 9921467522531. The next prime is 9921467522569. The reversal of 9921467522560 is 652257641299.

It is a happy number.

It is a super-3 number, since 3×9921467522560³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9921467522495 and 9921467522504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9921467522569) by changing a digit.

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, 5764942500 + ... + 5764944220.

Almost surely, 2^{9921467522560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9921467522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461572966688).

9921467522560 is an abundant number, since it is smaller than the sum of its proper divisors (17001678410816).

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

9921467522560 is a wasteful number, since it uses less digits than its factorization.

9921467522560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 9921467522560 in words is "nine trillion, nine hundred twenty-one billion, four hundred sixty-seven million, five hundred twenty-two thousand, five hundred sixty".