10738713120 has 48 divisors (see below), whose sum is σ = 33826947840. Its totient is φ = 2863656704.

The previous prime is 10738713103. The next prime is 10738713121. The reversal of 10738713120 is 2131783701.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10738713121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11185680 + ... + 11186639.

It is an arithmetic number, because the mean of its divisors is an integer number (704728080).

Almost surely, 2^10738713120 is an apocalyptic number.

10738713120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10738713120 is an abundant number, since it is smaller than the sum of its proper divisors (23088234720).

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

10738713120 is a wasteful number, since it uses less digits than its factorization.

10738713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22372337 (or 22372329 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 10738713120 in words is "ten billion, seven hundred thirty-eight million, seven hundred thirteen thousand, one hundred twenty".