10271273536 has 56 divisors (see below), whose sum is σ = 21537046080. Its totient is φ = 4846689792.

The previous prime is 10271273483. The next prime is 10271273539. The reversal of 10271273536 is 63537217201.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10271273495 and 10271273504.

It is not an unprimeable number, because it can be changed into a prime (10271273539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303750 + ... + 335866.

Almost surely, 2^10271273536 is an apocalyptic number.

10271273536 is a gapful number since it is divisible by the number (16) 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 10271273536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10768523040).

10271273536 is an abundant number, since it is smaller than the sum of its proper divisors (11265772544).

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

10271273536 is a wasteful number, since it uses less digits than its factorization.

10271273536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32411 (or 32401 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 10271273536 in words is "ten billion, two hundred seventy-one million, two hundred seventy-three thousand, five hundred thirty-six".