10008680875175 has 24 divisors (see below), whose sum is σ = 12426843381120. Its totient is φ = 7996573100000.

The previous prime is 10008680875157. The next prime is 10008680875181. The reversal of 10008680875175 is 57157808680001.

10008680875175 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10008680875175 - 2¹⁸ = 10008680613031 is a prime.

It is a super-2 number, since 2×10008680875175² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10008680875175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276075800 + ... + 276112050.

It is an arithmetic number, because the mean of its divisors is an integer number (517785140880).

Almost surely, 2^{10008680875175} is an apocalyptic number.

10008680875175 is a deficient number, since it is larger than the sum of its proper divisors (2418162505945).

10008680875175 is a wasteful number, since it uses less digits than its factorization.

10008680875175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50263 (or 50258 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 56.

The spelling of 10008680875175 in words is "ten trillion, eight billion, six hundred eighty million, eight hundred seventy-five thousand, one hundred seventy-five".