10981127136 has 96 divisors (see below), whose sum is σ = 33203036160. Its totient is φ = 3112736256.

The previous prime is 10981127119. The next prime is 10981127161. The reversal of 10981127136 is 63172118901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10981127094 and 10981127103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21010 + ... + 149678.

It is an arithmetic number, because the mean of its divisors is an integer number (345864960).

Almost surely, 2^10981127136 is an apocalyptic number.

10981127136 is a gapful number since it is divisible by the number (16) 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 10981127136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601518080).

10981127136 is an abundant number, since it is smaller than the sum of its proper divisors (22221909024).

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

10981127136 is a wasteful number, since it uses less digits than its factorization.

10981127136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128816 (or 128808 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 10981127136 in words is "ten billion, nine hundred eighty-one million, one hundred twenty-seven thousand, one hundred thirty-six".