10225730688 has 128 divisors (see below), whose sum is σ = 28888440000. Its totient is φ = 3195666432.

The previous prime is 10225730677. The next prime is 10225730699. The reversal of 10225730688 is 88603752201.

It is an interprime number because it is at equal distance from previous prime (10225730677) and next prime (10225730699).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700488 + ... + 714936.

Almost surely, 2^10225730688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225730688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14444220000).

10225730688 is an abundant number, since it is smaller than the sum of its proper divisors (18662709312).

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

10225730688 is a wasteful number, since it uses less digits than its factorization.

10225730688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14582 (or 14570 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10225730688 in words is "ten billion, two hundred twenty-five million, seven hundred thirty thousand, six hundred eighty-eight".