10927682144 has 48 divisors (see below), whose sum is σ = 22879130400. Its totient is φ = 5119924224.

The previous prime is 10927682141. The next prime is 10927682179. The reversal of 10927682144 is 44128672901.

It is a junction number, because it is equal to n+sod(n) for n = 10927682095 and 10927682104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10927682141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80717 + ... + 168435.

It is an arithmetic number, because the mean of its divisors is an integer number (476648550).

Almost surely, 2^10927682144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10927682144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439565200).

10927682144 is an abundant number, since it is smaller than the sum of its proper divisors (11951448256).

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

10927682144 is a wasteful number, since it uses less digits than its factorization.

10927682144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87975 (or 87967 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 10927682144 in words is "ten billion, nine hundred twenty-seven million, six hundred eighty-two thousand, one hundred forty-four".