10305668880 has 640 divisors, whose sum is σ = 40587402240. Its totient is φ = 2414168064.

The previous prime is 10305668797. The next prime is 10305668911. The reversal of 10305668880 is 8886650301.

10305668880 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 566 + 8 + 8 + 80 = 666.

It is a super-2 number, since 2×10305668880² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52312942 + ... + 52313138.

It is an arithmetic number, because the mean of its divisors is an integer number (63417816).

Almost surely, 2^10305668880 is an apocalyptic number.

10305668880 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 10305668880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20293701120).

10305668880 is an abundant number, since it is smaller than the sum of its proper divisors (30281733360).

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

10305668880 is a wasteful number, since it uses less digits than its factorization.

10305668880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10305668880 in words is "ten billion, three hundred five million, six hundred sixty-eight thousand, eight hundred eighty".