10012506567327 has 48 divisors (see below), whose sum is σ = 16286797962240. Its totient is φ = 5872232246400.

The previous prime is 10012506567307. The next prime is 10012506567331. The reversal of 10012506567327 is 72376560521001.

It is a happy number.

10012506567327 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 50 + 6 + 567 + 32 + 7 = 666.

It is not a de Polignac number, because 10012506567327 - 2¹¹ = 10012506565279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012506567307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175202124 + ... + 175259262.

It is an arithmetic number, because the mean of its divisors is an integer number (339308290880).

Almost surely, 2^{10012506567327} is an apocalyptic number.

10012506567327 is a deficient number, since it is larger than the sum of its proper divisors (6274291394913).

10012506567327 is a wasteful number, since it uses less digits than its factorization.

10012506567327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114284 (or 114281 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 10012506567327 in words is "ten trillion, twelve billion, five hundred six million, five hundred sixty-seven thousand, three hundred twenty-seven".