10006527771375 has 64 divisors (see below), whose sum is σ = 16928209858560. Its totient is φ = 5247966672000.

The previous prime is 10006527771341. The next prime is 10006527771379. The reversal of 10006527771375 is 57317772560001.

It is not a de Polignac number, because 10006527771375 - 2¹¹ = 10006527769327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006527771379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91513986 + ... + 91623264.

It is an arithmetic number, because the mean of its divisors is an integer number (264503279040).

Almost surely, 2^{10006527771375} is an apocalyptic number.

10006527771375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10006527771375 is a deficient number, since it is larger than the sum of its proper divisors (6921682087185).

10006527771375 is a wasteful number, since it uses less digits than its factorization.

10006527771375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113361 (or 113351 counting only the distinct ones).

The product of its (nonzero) digits is 2160900, while the sum is 51.

The spelling of 10006527771375 in words is "ten trillion, six billion, five hundred twenty-seven million, seven hundred seventy-one thousand, three hundred seventy-five".