10981855365120 has 288 divisors, whose sum is σ = 39089828919960. Its totient is φ = 2849345372160.

The previous prime is 10981855365113. The next prime is 10981855365121. The reversal of 10981855365120 is 2156355818901.

10981855365120 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 1 + 8 + 553 + 65 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10536827618304 + 445027746816 = 3246048^2 + 667104^2 .

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

It is a super-2 number, since 2×10981855365120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10981855365121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1799640 + ... + 5020200.

Almost surely, 2^{10981855365120} is an apocalyptic number.

10981855365120 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 10981855365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544914459980).

10981855365120 is an abundant number, since it is smaller than the sum of its proper divisors (28107973554840).

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

10981855365120 is a wasteful number, since it uses less digits than its factorization.

10981855365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220631 (or 3220608 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 10981855365120 in words is "ten trillion, nine hundred eighty-one billion, eight hundred fifty-five million, three hundred sixty-five thousand, one hundred twenty".