10838901920 has 144 divisors (see below), whose sum is σ = 32495849568. Its totient is φ = 3378332160.

The previous prime is 10838901883. The next prime is 10838901923. The reversal of 10838901920 is 2910983801.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10838901923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23399 + ... + 149081.

It is an arithmetic number, because the mean of its divisors is an integer number (225665622).

Almost surely, 2^10838901920 is an apocalyptic number.

10838901920 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 10838901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16247924784).

10838901920 is an abundant number, since it is smaller than the sum of its proper divisors (21656947648).

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

10838901920 is a wasteful number, since it uses less digits than its factorization.

10838901920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125723 (or 125708 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The spelling of 10838901920 in words is "ten billion, eight hundred thirty-eight million, nine hundred one thousand, nine hundred twenty".