10743909120 has 576 divisors, whose sum is σ = 44150400000. Its totient is φ = 2423291904.

The previous prime is 10743909089. The next prime is 10743909131. The reversal of 10743909120 is 2190934701.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21530631 + ... + 21531129.

It is an arithmetic number, because the mean of its divisors is an integer number (76650000).

Almost surely, 2^10743909120 is an apocalyptic number.

10743909120 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 10743909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22075200000).

10743909120 is an abundant number, since it is smaller than the sum of its proper divisors (33406490880).

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

10743909120 is an equidigital number, since it uses as much as digits as its factorization.

10743909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10743909120 in words is "ten billion, seven hundred forty-three million, nine hundred nine thousand, one hundred twenty".