10256274520128 has 3360 divisors, whose sum is σ = 42762845030400. Its totient is φ = 2367264227328.

The previous prime is 10256274520103. The next prime is 10256274520133. The reversal of 10256274520128 is 82102547265201.

10256274520128 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 627 + 4 + 5 + 2 + 0 + 12 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 115239039508 + ... + 115239039596.

Almost surely, 2^{10256274520128} is an apocalyptic number.

10256274520128 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 10256274520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21381422515200).

10256274520128 is an abundant number, since it is smaller than the sum of its proper divisors (32506570510272).

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

10256274520128 is a wasteful number, since it uses less digits than its factorization.

10256274520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 10256274520128 in words is "ten trillion, two hundred fifty-six billion, two hundred seventy-four million, five hundred twenty thousand, one hundred twenty-eight".