10254235350528 has 640 divisors, whose sum is σ = 34535589580800. Its totient is φ = 2981463883776.

The previous prime is 10254235350451. The next prime is 10254235350571. The reversal of 10254235350528 is 82505353245201.

10254235350528 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 4 + 23 + 53 + 50 + 528 = 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, 244926525 + ... + 244968387.

It is an arithmetic number, because the mean of its divisors is an integer number (53961858720).

Almost surely, 2^{10254235350528} is an apocalyptic number.

10254235350528 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 10254235350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267794790400).

10254235350528 is an abundant number, since it is smaller than the sum of its proper divisors (24281354230272).

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

10254235350528 is a wasteful number, since it uses less digits than its factorization.

10254235350528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41979 (or 41957 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 10254235350528 its reverse (82505353245201), we get a palindrome (92759588595729).

The spelling of 10254235350528 in words is "ten trillion, two hundred fifty-four billion, two hundred thirty-five million, three hundred fifty thousand, five hundred twenty-eight".