10921680000 has 960 divisors, whose sum is σ = 49211997120. Its totient is φ = 2257920000.

The previous prime is 10921679969. The next prime is 10921680023. The reversal of 10921680000 is 8612901.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55439902 + ... + 55440098.

It is an arithmetic number, because the mean of its divisors is an integer number (51262497).

Almost surely, 2^10921680000 is an apocalyptic number.

10921680000 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 10921680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605998560).

10921680000 is an abundant number, since it is smaller than the sum of its proper divisors (38290317120).

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

10921680000 is a wasteful number, since it uses less digits than its factorization.

10921680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10921680000 in words is "ten billion, nine hundred twenty-one million, six hundred eighty thousand".