10164072764557 has 16 divisors (see below), whose sum is σ = 10479416124672. Its totient is φ = 9852979494400.

The previous prime is 10164072764533. The next prime is 10164072764561. The reversal of 10164072764557 is 75546727046101.

It is a de Polignac number, because none of the positive numbers 2^k-10164072764557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10164072764498 and 10164072764507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164072764057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7046793 + ... + 8365729.

It is an arithmetic number, because the mean of its divisors is an integer number (654963507792).

Almost surely, 2^{10164072764557} is an apocalyptic number.

It is an amenable number.

10164072764557 is a deficient number, since it is larger than the sum of its proper divisors (315343360115).

10164072764557 is a wasteful number, since it uses less digits than its factorization.

10164072764557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320548.

The product of its (nonzero) digits is 9878400, while the sum is 55.

The spelling of 10164072764557 in words is "ten trillion, one hundred sixty-four billion, seventy-two million, seven hundred sixty-four thousand, five hundred fifty-seven".