10007075344857 has 16 divisors (see below), whose sum is σ = 13760027228160. Its totient is φ = 6465938704400.

The previous prime is 10007075344831. The next prime is 10007075344867. The reversal of 10007075344857 is 75844357070001.

It is a cyclic number.

It is not a de Polignac number, because 10007075344857 - 2⁶ = 10007075344793 is a prime.

It is a super-3 number, since 3×10007075344857³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10007075344867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398136369 + ... + 398161502.

It is an arithmetic number, because the mean of its divisors is an integer number (860001701760).

Almost surely, 2^{10007075344857} is an apocalyptic number.

It is an amenable number.

10007075344857 is a deficient number, since it is larger than the sum of its proper divisors (3752951883303).

10007075344857 is an equidigital number, since it uses as much as digits as its factorization.

10007075344857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796298004.

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 10007075344857 in words is "ten trillion, seven billion, seventy-five million, three hundred forty-four thousand, eight hundred fifty-seven".