10164429077805 has 64 divisors (see below), whose sum is σ = 18865140387840. Its totient is φ = 5182750267200.

The previous prime is 10164429077801. The next prime is 10164429077833. The reversal of 10164429077805 is 50877092446101.

10164429077805 is a `hidden beast` number, since 10 + 1 + 64 + 429 + 0 + 77 + 80 + 5 = 666.

It is not a de Polignac number, because 10164429077805 - 2² = 10164429077801 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164429077801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5430240 + ... + 7058070.

It is an arithmetic number, because the mean of its divisors is an integer number (294767818560).

Almost surely, 2^{10164429077805} is an apocalyptic number.

10164429077805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10164429077805 is a deficient number, since it is larger than the sum of its proper divisors (8700711310035).

10164429077805 is a wasteful number, since it uses less digits than its factorization.

10164429077805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629879 (or 1629873 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 10164429077805 in words is "ten trillion, one hundred sixty-four billion, four hundred twenty-nine million, seventy-seven thousand, eight hundred five".