10230782688 has 288 divisors, whose sum is σ = 34619719680. Its totient is φ = 2804336640.

The previous prime is 10230782687. The next prime is 10230782707. The reversal of 10230782688 is 88628703201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230782687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7936348 + ... + 7937636.

It is an arithmetic number, because the mean of its divisors is an integer number (120207360).

Almost surely, 2^10230782688 is an apocalyptic number.

10230782688 is a gapful number since it is divisible by the number (18) 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 10230782688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309859840).

10230782688 is an abundant number, since it is smaller than the sum of its proper divisors (24388936992).

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

10230782688 is a wasteful number, since it uses less digits than its factorization.

10230782688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10230782688 in words is "ten billion, two hundred thirty million, seven hundred eighty-two thousand, six hundred eighty-eight".