10789560320 has 336 divisors, whose sum is σ = 32631790464. Its totient is φ = 3352166400.

The previous prime is 10789560319. The next prime is 10789560347. The reversal of 10789560320 is 2306598701.

It is a super-2 number, since 2×10789560320² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34692965 + ... + 34693275.

It is an arithmetic number, because the mean of its divisors is an integer number (97118424).

Almost surely, 2^10789560320 is an apocalyptic number.

10789560320 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 10789560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315895232).

10789560320 is an abundant number, since it is smaller than the sum of its proper divisors (21842230144).

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

10789560320 is an equidigital number, since it uses as much as digits as its factorization.

10789560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 10789560320 in words is "ten billion, seven hundred eighty-nine million, five hundred sixty thousand, three hundred twenty".