10006860772075 has 12 divisors (see below), whose sum is σ = 12409522581240. Its totient is φ = 8004833634560.

The previous prime is 10006860772049. The next prime is 10006860772177. The reversal of 10006860772075 is 57027706860001.

It is a happy number.

It is not a de Polignac number, because 10006860772075 - 2¹³ = 10006860763883 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16062790 + ... + 16674139.

It is an arithmetic number, because the mean of its divisors is an integer number (1034126881770).

Almost surely, 2^{10006860772075} is an apocalyptic number.

10006860772075 is a deficient number, since it is larger than the sum of its proper divisors (2402661809165).

10006860772075 is a wasteful number, since it uses less digits than its factorization.

10006860772075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32749166 (or 32749161 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 10006860772075 in words is "ten trillion, six billion, eight hundred sixty million, seven hundred seventy-two thousand, seventy-five".