10983986009568 has 288 divisors, whose sum is σ = 36708953954400. Its totient is φ = 3071400837120.

The previous prime is 10983986009567. The next prime is 10983986009603. The reversal of 10983986009568 is 86590068938901.

10983986009568 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 3 + 9 + 8 + 600 + 9 + 5 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10983986009496 and 10983986009505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10983986009567) by changing a digit.

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, 125526280 + ... + 125613752.

It is an arithmetic number, because the mean of its divisors is an integer number (127461645675).

Almost surely, 2^{10983986009568} is an apocalyptic number.

10983986009568 is a gapful number since it is divisible by the number (18) 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 10983986009568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354476977200).

10983986009568 is an abundant number, since it is smaller than the sum of its proper divisors (25724967944832).

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

10983986009568 is a wasteful number, since it uses less digits than its factorization.

10983986009568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90562 (or 90551 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 10983986009568 in words is "ten trillion, nine hundred eighty-three billion, nine hundred eighty-six million, nine thousand, five hundred sixty-eight".