10816659360 has 576 divisors, whose sum is σ = 43168114080. Its totient is φ = 2441871360.

The previous prime is 10816659349. The next prime is 10816659367. The reversal of 10816659360 is 6395661801.

It can be written as a sum of positive squares in 16 ways, for example, as 9809424 + 10806849936 = 3132^2 + 103956^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10816659367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13047426 + ... + 13048254.

Almost surely, 2^10816659360 is an apocalyptic number.

10816659360 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 10816659360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21584057040).

10816659360 is an abundant number, since it is smaller than the sum of its proper divisors (32351454720).

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

10816659360 is a wasteful number, since it uses less digits than its factorization.

10816659360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

It can be divided in two parts, 1081665 and 9360, that multiplied together give a square (10124384400 = 100620²).

The spelling of 10816659360 in words is "ten billion, eight hundred sixteen million, six hundred fifty-nine thousand, three hundred sixty".