10789627520 has 256 divisors, whose sum is σ = 31402944000. Its totient is φ = 3536805888.

The previous prime is 10789627463. The next prime is 10789627523. The reversal of 10789627520 is 2572698701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10789627523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5047892 + ... + 5050028.

It is an arithmetic number, because the mean of its divisors is an integer number (122667750).

Almost surely, 2^10789627520 is an apocalyptic number.

10789627520 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 10789627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701472000).

10789627520 is an abundant number, since it is smaller than the sum of its proper divisors (20613316480).

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

10789627520 is an equidigital number, since it uses as much as digits as its factorization.

10789627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 10789627520 in words is "ten billion, seven hundred eighty-nine million, six hundred twenty-seven thousand, five hundred twenty".