10793301120 has 768 divisors, whose sum is σ = 45686534400. Its totient is φ = 2293235712.

The previous prime is 10793301119. The next prime is 10793301131. The reversal of 10793301120 is 2110339701.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55923744 + ... + 55923936.

It is an arithmetic number, because the mean of its divisors is an integer number (59487675).

Almost surely, 2^10793301120 is an apocalyptic number.

10793301120 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 10793301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22843267200).

10793301120 is an abundant number, since it is smaller than the sum of its proper divisors (34893233280).

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

10793301120 is a wasteful number, since it uses less digits than its factorization.

10793301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 10793301120 in words is "ten billion, seven hundred ninety-three million, three hundred one thousand, one hundred twenty".