10164873213495 has 896 divisors, whose sum is σ = 25246684108800. Its totient is φ = 3791229235200.

The previous prime is 10164873213487. The next prime is 10164873213511. The reversal of 10164873213495 is 59431237846101.

10164873213495 is a `hidden beast` number, since 1 + 0 + 1 + 64 + 8 + 73 + 21 + 3 + 495 = 666.

It is not a de Polignac number, because 10164873213495 - 2³ = 10164873213487 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 24259840396 + ... + 24259840814.

It is an arithmetic number, because the mean of its divisors is an integer number (28177102800).

It is a 1-persistent number, because it is pandigital, but 2⋅10164873213495 = 20329746426990 is not.

Almost surely, 2^{10164873213495} is an apocalyptic number.

10164873213495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10164873213495 is an abundant number, since it is smaller than the sum of its proper divisors (15081810895305).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10164873213495 is a wasteful number, since it uses less digits than its factorization.

10164873213495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10164873213495 in words is "ten trillion, one hundred sixty-four billion, eight hundred seventy-three million, two hundred thirteen thousand, four hundred ninety-five".