10275127506 has 160 divisors (see below), whose sum is σ = 27828218880. Its totient is φ = 2771366400.

The previous prime is 10275127469. The next prime is 10275127507. The reversal of 10275127506 is 60572157201.

10275127506 is a `hidden beast` number, since 1 + 0 + 27 + 5 + 127 + 506 = 666.

It is not an unprimeable number, because it can be changed into a prime (10275127507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1437750 + ... + 1444878.

It is an arithmetic number, because the mean of its divisors is an integer number (173926368).

Almost surely, 2^10275127506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10275127506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13914109440).

10275127506 is an abundant number, since it is smaller than the sum of its proper divisors (17553091374).

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

10275127506 is a wasteful number, since it uses less digits than its factorization.

10275127506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 10275127506 in words is "ten billion, two hundred seventy-five million, one hundred twenty-seven thousand, five hundred six".