10938119200 has 144 divisors (see below), whose sum is σ = 27936086976. Its totient is φ = 4174156800.

The previous prime is 10938119173. The next prime is 10938119201. The reversal of 10938119200 is 291183901.

It is not an unprimeable number, because it can be changed into a prime (10938119201) 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, 13486795 + ... + 13487605.

It is an arithmetic number, because the mean of its divisors is an integer number (194000604).

Almost surely, 2^10938119200 is an apocalyptic number.

10938119200 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 10938119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968043488).

10938119200 is an abundant number, since it is smaller than the sum of its proper divisors (16997967776).

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

10938119200 is a wasteful number, since it uses less digits than its factorization.

10938119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

It can be divided in two parts, 1093811 and 9200, that added together give a palindrome (1103011).

The spelling of 10938119200 in words is "ten billion, nine hundred thirty-eight million, one hundred nineteen thousand, two hundred".