10038175872081 has 64 divisors (see below), whose sum is σ = 16660106342400. Its totient is φ = 5245695012096.

The previous prime is 10038175872079. The next prime is 10038175872107. The reversal of 10038175872081 is 18027857183001.

It is a happy number.

It is not a de Polignac number, because 10038175872081 - 2¹ = 10038175872079 is a prime.

It is a super-2 number, since 2×10038175872081² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10038175872041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55601100 + ... + 55781346.

It is an arithmetic number, because the mean of its divisors is an integer number (260314161600).

Almost surely, 2^{10038175872081} is an apocalyptic number.

It is an amenable number.

10038175872081 is a deficient number, since it is larger than the sum of its proper divisors (6621930470319).

10038175872081 is a wasteful number, since it uses less digits than its factorization.

10038175872081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185118.

The product of its (nonzero) digits is 752640, while the sum is 51.

The spelling of 10038175872081 in words is "ten trillion, thirty-eight billion, one hundred seventy-five million, eight hundred seventy-two thousand, eighty-one".