10883330640 has 640 divisors, whose sum is σ = 48866872320. Its totient is φ = 2160525312.

The previous prime is 10883330639. The next prime is 10883330737. The reversal of 10883330640 is 4603338801.

It is a happy number.

10883330640 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 3 + 3 + 3 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10883330595 and 10883330604.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3339892 + ... + 3343148.

It is an arithmetic number, because the mean of its divisors is an integer number (76354488).

Almost surely, 2^10883330640 is an apocalyptic number.

10883330640 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 10883330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24433436160).

10883330640 is an abundant number, since it is smaller than the sum of its proper divisors (37983541680).

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

10883330640 is a wasteful number, since it uses less digits than its factorization.

10883330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10883330640 in words is "ten billion, eight hundred eighty-three million, three hundred thirty thousand, six hundred forty".