10226750688 has 384 divisors, whose sum is σ = 37379543040. Its totient is φ = 2642664960.

The previous prime is 10226750671. The next prime is 10226750713. The reversal of 10226750688 is 88605762201.

10226750688 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 67 + 506 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23084995 + ... + 23085437.

It is an arithmetic number, because the mean of its divisors is an integer number (97342560).

Almost surely, 2^10226750688 is an apocalyptic number.

10226750688 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 10226750688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18689771520).

10226750688 is an abundant number, since it is smaller than the sum of its proper divisors (27152792352).

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

10226750688 is a wasteful number, since it uses less digits than its factorization.

10226750688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10226750688 in words is "ten billion, two hundred twenty-six million, seven hundred fifty thousand, six hundred eighty-eight".