10223258026752 has 288 divisors, whose sum is σ = 32564047810560. Its totient is φ = 3154439946240.

The previous prime is 10223258026733. The next prime is 10223258026753. The reversal of 10223258026752 is 25762085232201.

10223258026752 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 2 + 580 + 2 + 67 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10223258026698 and 10223258026707.

It is not an unprimeable number, because it can be changed into a prime (10223258026753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3891048 + ... + 5965464.

Almost surely, 2^{10223258026752} is an apocalyptic number.

10223258026752 is a gapful number since it is divisible by the number (12) 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 10223258026752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282023905280).

10223258026752 is an abundant number, since it is smaller than the sum of its proper divisors (22340789783808).

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

10223258026752 is a wasteful number, since it uses less digits than its factorization.

10223258026752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074496 (or 2074476 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 10223258026752 in words is "ten trillion, two hundred twenty-three billion, two hundred fifty-eight million, twenty-six thousand, seven hundred fifty-two".