10983404720640 has 480 divisors, whose sum is σ = 40272924117888. Its totient is φ = 2546871500800.

The previous prime is 10983404720611. The next prime is 10983404720653. The reversal of 10983404720640 is 4602740438901.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10983404720640.

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 47 ways as a sum of consecutive naturals, for example, 21116500 + ... + 21630380.

Almost surely, 2^{10983404720640} is an apocalyptic number.

10983404720640 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 10983404720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20136462058944).

10983404720640 is an abundant number, since it is smaller than the sum of its proper divisors (29289519397248).

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

10983404720640 is a wasteful number, since it uses less digits than its factorization.

10983404720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513952 (or 513925 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 10983404720640 in words is "ten trillion, nine hundred eighty-three billion, four hundred four million, seven hundred twenty thousand, six hundred forty".