10789359460 has 72 divisors (see below), whose sum is σ = 25374896568. Its totient is φ = 3849331200.

The previous prime is 10789359431. The next prime is 10789359487. The reversal of 10789359460 is 6495398701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 152324964 + 10637034496 = 12342^2 + 103136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10789359398 and 10789359407.

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, 86200 + ... + 170320.

It is an arithmetic number, because the mean of its divisors is an integer number (352429119).

Almost surely, 2^10789359460 is an apocalyptic number.

10789359460 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 10789359460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687448284).

10789359460 is an abundant number, since it is smaller than the sum of its proper divisors (14585537108).

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

10789359460 is a wasteful number, since it uses less digits than its factorization.

10789359460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84205 (or 84192 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 10789359460 in words is "ten billion, seven hundred eighty-nine million, three hundred fifty-nine thousand, four hundred sixty".