10272825648 has 50 divisors (see below), whose sum is σ = 29732541564. Its totient is φ = 3424274784.

The previous prime is 10272825611. The next prime is 10272825649. The reversal of 10272825648 is 84652827201.

10272825648 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 2 + 82 + 564 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10272825649) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3961986 + ... + 3964577.

Almost surely, 2^10272825648 is an apocalyptic number.

10272825648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10272825648 is an abundant number, since it is smaller than the sum of its proper divisors (19459715916).

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

10272825648 is an equidigital number, since it uses as much as digits as its factorization.

10272825648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7926583 (or 7926568 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10272825648 in words is "ten billion, two hundred seventy-two million, eight hundred twenty-five thousand, six hundred forty-eight".