10233217260 has 288 divisors, whose sum is σ = 36285010944. Its totient is φ = 2286144000.

The previous prime is 10233217259. The next prime is 10233217261. The reversal of 10233217260 is 6271233201.

10233217260 is a `hidden beast` number, since 102 + 332 + 172 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10233217259) and next prime (10233217261).

It is not an unprimeable number, because it can be changed into a prime (10233217261) 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, 16217145 + ... + 16217775.

Almost surely, 2^10233217260 is an apocalyptic number.

10233217260 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 10233217260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18142505472).

10233217260 is an abundant number, since it is smaller than the sum of its proper divisors (26051793684).

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

10233217260 is a wasteful number, since it uses less digits than its factorization.

10233217260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10233217260 in words is "ten billion, two hundred thirty-three million, two hundred seventeen thousand, two hundred sixty".