10938903120 has 80 divisors (see below), whose sum is σ = 37678451520. Its totient is φ = 2917040256.

The previous prime is 10938903103. The next prime is 10938903127. The reversal of 10938903120 is 2130983901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10938903127) 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 15 ways as a sum of consecutive naturals, for example, 2529994 + ... + 2534313.

It is an arithmetic number, because the mean of its divisors is an integer number (470980644).

Almost surely, 2^10938903120 is an apocalyptic number.

10938903120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10938903120 is an abundant number, since it is smaller than the sum of its proper divisors (26739548400).

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

10938903120 is a wasteful number, since it uses less digits than its factorization.

10938903120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064329 (or 5064317 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10938903120 in words is "ten billion, nine hundred thirty-eight million, nine hundred three thousand, one hundred twenty".