10814838540 has 96 divisors (see below), whose sum is σ = 33058658304. Its totient is φ = 2619855360.

The previous prime is 10814838457. The next prime is 10814838553. The reversal of 10814838540 is 4583841801.

It is a junction number, because it is equal to n+sod(n) for n = 10814838492 and 10814838501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028992 + ... + 1039448.

It is an arithmetic number, because the mean of its divisors is an integer number (344361024).

Almost surely, 2^10814838540 is an apocalyptic number.

10814838540 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 10814838540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16529329152).

10814838540 is an abundant number, since it is smaller than the sum of its proper divisors (22243819764).

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

10814838540 is a wasteful number, since it uses less digits than its factorization.

10814838540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12047 (or 12045 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 10814838540 in words is "ten billion, eight hundred fourteen million, eight hundred thirty-eight thousand, five hundred forty".