10981206318960 has 240 divisors, whose sum is σ = 39287442433824. Its totient is φ = 2739158581248.

The previous prime is 10981206318959. The next prime is 10981206318961. The reversal of 10981206318960 is 6981360218901.

It is an interprime number because it is at equal distance from previous prime (10981206318959) and next prime (10981206318961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 10981206318897 and 10981206318906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10981206318961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756897 + ... + 4747136.

Almost surely, 2^{10981206318960} is an apocalyptic number.

10981206318960 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 10981206318960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19643721216912).

10981206318960 is an abundant number, since it is smaller than the sum of its proper divisors (28306236114864).

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

10981206318960 is a wasteful number, since it uses less digits than its factorization.

10981206318960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504232 (or 5504223 counting only the distinct ones).

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

The spelling of 10981206318960 in words is "ten trillion, nine hundred eighty-one billion, two hundred six million, three hundred eighteen thousand, nine hundred sixty".