10978682320320 has 2688 divisors, whose sum is σ = 45541948032000. Its totient is φ = 2212901683200.

The previous prime is 10978682320313. The next prime is 10978682320337. The reversal of 10978682320320 is 2302328687901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 73682431606 + ... + 73682431754.

It is an arithmetic number, because the mean of its divisors is an integer number (16942689000).

Almost surely, 2^{10978682320320} is an apocalyptic number.

10978682320320 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 10978682320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22770974016000).

10978682320320 is an abundant number, since it is smaller than the sum of its proper divisors (34563265711680).

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

10978682320320 is a wasteful number, since it uses less digits than its factorization.

10978682320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 10978682320320 in words is "ten trillion, nine hundred seventy-eight billion, six hundred eighty-two million, three hundred twenty thousand, three hundred twenty".