9920465026560 has 480 divisors, whose sum is σ = 39453447496320. Its totient is φ = 2278383206400.

The previous prime is 9920465026531. The next prime is 9920465026561. The reversal of 9920465026560 is 656205640299.

9920465026560 is a `hidden beast` number, since 9 + 9 + 2 + 0 + 4 + 6 + 50 + 26 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9920465026497 and 9920465026506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9920465026561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3785275 + ... + 5845445.

It is an arithmetic number, because the mean of its divisors is an integer number (82194682284).

Almost surely, 2^{9920465026560} is an apocalyptic number.

9920465026560 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 9920465026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19726723748160).

9920465026560 is an abundant number, since it is smaller than the sum of its proper divisors (29532982469760).

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

9920465026560 is a wasteful number, since it uses less digits than its factorization.

9920465026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060230 (or 2060211 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 9920465026560 in words is "nine trillion, nine hundred twenty billion, four hundred sixty-five million, twenty-six thousand, five hundred sixty".