10983921640000 has 315 divisors, whose sum is σ = 27736957283277. Its totient is φ = 4314292992000.

The previous prime is 10983921639961. The next prime is 10983921640057. The reversal of 10983921640000 is 4612938901.

It is a happy number.

The square root of 10983921640000 is 3314200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7790752780864 + 3193168859136 = 2791192^2 + 1786944^2 .

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 44 ways as a sum of consecutive naturals, for example, 48387319887 + ... + 48387320113.

Almost surely, 2^{10983921640000} is an apocalyptic number.

10983921640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10983921640000 is the 3314200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10983921640000

10983921640000 is an abundant number, since it is smaller than the sum of its proper divisors (16753035643277).

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

10983921640000 is an frugal number, since it uses more digits than its factorization.

10983921640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 10983921640000 in words is "ten trillion, nine hundred eighty-three billion, nine hundred twenty-one million, six hundred forty thousand".