10164561017778 has 48 divisors (see below), whose sum is σ = 22223826177696. Its totient is φ = 3357399576960.

The previous prime is 10164561017747. The next prime is 10164561017783. The reversal of 10164561017778 is 87771016546101.

10164561017778 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 4 + 5 + 610 + 17 + 7 + 7 + 8 = 666.

It is a Curzon 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, 1545175 + ... + 4766202.

It is an arithmetic number, because the mean of its divisors is an integer number (462996378702).

Almost surely, 2^{10164561017778} is an apocalyptic number.

10164561017778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10164561017778 is an abundant number, since it is smaller than the sum of its proper divisors (12059265159918).

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

10164561017778 is a wasteful number, since it uses less digits than its factorization.

10164561017778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312199 (or 6312196 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 10164561017778 in words is "ten trillion, one hundred sixty-four billion, five hundred sixty-one million, seventeen thousand, seven hundred seventy-eight".