10665338880 has 192 divisors, whose sum is σ = 38995931520. Its totient is φ = 2437742592.

The previous prime is 10665338867. The next prime is 10665338899. The reversal of 10665338880 is 8883356601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10665338880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190242 + ... + 239838.

It is an arithmetic number, because the mean of its divisors is an integer number (203103810).

Almost surely, 2^10665338880 is an apocalyptic number.

10665338880 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 10665338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19497965760).

10665338880 is an abundant number, since it is smaller than the sum of its proper divisors (28330592640).

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

10665338880 is an equidigital number, since it uses as much as digits as its factorization.

10665338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49634 (or 49614 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 10665338880 in words is "ten billion, six hundred sixty-five million, three hundred thirty-eight thousand, eight hundred eighty".