10981668960 has 480 divisors, whose sum is σ = 40834886400. Its totient is φ = 2775306240.

The previous prime is 10981668937. The next prime is 10981668977. The reversal of 10981668960 is 6986618901.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 10981668897 and 10981668906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22926001 + ... + 22926479.

It is an arithmetic number, because the mean of its divisors is an integer number (85072680).

Almost surely, 2^10981668960 is an apocalyptic number.

10981668960 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 10981668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20417443200).

10981668960 is an abundant number, since it is smaller than the sum of its proper divisors (29853217440).

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

10981668960 is a wasteful number, since it uses less digits than its factorization.

10981668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 10981668960 in words is "ten billion, nine hundred eighty-one million, six hundred sixty-eight thousand, nine hundred sixty".