10075010006006 has 32 divisors (see below), whose sum is σ = 16949456526240. Its totient is φ = 4451724115200.

The previous prime is 10075010005903. The next prime is 10075010006029. The reversal of 10075010006006 is 60060001057001.

It is a super-2 number, since 2×10075010006006² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19911941 + ... + 20411648.

It is an arithmetic number, because the mean of its divisors is an integer number (529670516445).

Almost surely, 2^{10075010006006} is an apocalyptic number.

10075010006006 is a deficient number, since it is larger than the sum of its proper divisors (6874446520234).

10075010006006 is a wasteful number, since it uses less digits than its factorization.

10075010006006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40323920.

The product of its (nonzero) digits is 1260, while the sum is 26.

The spelling of 10075010006006 in words is "ten trillion, seventy-five billion, ten million, six thousand, six".