10228817825352 has 192 divisors, whose sum is σ = 32345369971200. Its totient is φ = 2859355054080.

The previous prime is 10228817825339. The next prime is 10228817825419. The reversal of 10228817825352 is 25352871882201.

10228817825352 is a `hidden beast` number, since 1 + 0 + 2 + 28 + 8 + 1 + 7 + 82 + 535 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70256952 + ... + 70402392.

It is an arithmetic number, because the mean of its divisors is an integer number (168465468600).

Almost surely, 2^{10228817825352} is an apocalyptic number.

10228817825352 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 10228817825352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172684985600).

10228817825352 is an abundant number, since it is smaller than the sum of its proper divisors (22116552145848).

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

10228817825352 is a wasteful number, since it uses less digits than its factorization.

10228817825352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148476 (or 148469 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 10228817825352 in words is "ten trillion, two hundred twenty-eight billion, eight hundred seventeen million, eight hundred twenty-five thousand, three hundred fifty-two".