10928916776800 has 432 divisors, whose sum is σ = 30444482459664. Its totient is φ = 3798860800000.

The previous prime is 10928916776773. The next prime is 10928916776801. The reversal of 10928916776800 is 867761982901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928916776801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 747473490 + ... + 747488110.

It is an arithmetic number, because the mean of its divisors is an integer number (70473339027).

Almost surely, 2^{10928916776800} is an apocalyptic number.

10928916776800 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 10928916776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222241229832).

10928916776800 is an abundant number, since it is smaller than the sum of its proper divisors (19515565682864).

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

10928916776800 is a wasteful number, since it uses less digits than its factorization.

10928916776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14811 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 64.

The spelling of 10928916776800 in words is "ten trillion, nine hundred twenty-eight billion, nine hundred sixteen million, seven hundred seventy-six thousand, eight hundred".