10938888000 has 672 divisors, whose sum is σ = 43096330368. Its totient is φ = 2737152000.

The previous prime is 10938887933. The next prime is 10938888001. The reversal of 10938888000 is 88883901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10938888001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33047835 + ... + 33048165.

It is an arithmetic number, because the mean of its divisors is an integer number (64131444).

Almost surely, 2^10938888000 is an apocalyptic number.

10938888000 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 10938888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21548165184).

10938888000 is an abundant number, since it is smaller than the sum of its proper divisors (32157442368).

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

10938888000 is an equidigital number, since it uses as much as digits as its factorization.

10938888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10938888000 in words is "ten billion, nine hundred thirty-eight million, eight hundred eighty-eight thousand".