10928966116560 has 320 divisors, whose sum is σ = 35038828800000. Its totient is φ = 2816420014080.

The previous prime is 10928966116531. The next prime is 10928966116571. The reversal of 10928966116560 is 6561166982901.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10928966116494 and 10928966116503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2590414131 + ... + 2590418349.

It is an arithmetic number, because the mean of its divisors is an integer number (109496340000).

Almost surely, 2^{10928966116560} is an apocalyptic number.

10928966116560 is a gapful number since it is divisible by the number (10) 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 10928966116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519414400000).

10928966116560 is an abundant number, since it is smaller than the sum of its proper divisors (24109862683440).

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

10928966116560 is a wasteful number, since it uses less digits than its factorization.

10928966116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7354 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 10928966116560 in words is "ten trillion, nine hundred twenty-eight billion, nine hundred sixty-six million, one hundred sixteen thousand, five hundred sixty".