10164940416072 has 96 divisors (see below), whose sum is σ = 29771792668800. Its totient is φ = 3114587403648.

The previous prime is 10164940416053. The next prime is 10164940416083. The reversal of 10164940416072 is 27061404946101.

10164940416072 is a `hidden beast` number, since 1 + 0 + 16 + 4 + 9 + 404 + 160 + 72 = 666.

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, 22495918 + ... + 22943325.

It is an arithmetic number, because the mean of its divisors is an integer number (310122840300).

Almost surely, 2^{10164940416072} is an apocalyptic number.

10164940416072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10164940416072 is an abundant number, since it is smaller than the sum of its proper divisors (19606852252728).

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

10164940416072 is a wasteful number, since it uses less digits than its factorization.

10164940416072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45439507 (or 45439500 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10164940416072 in words is "ten trillion, one hundred sixty-four billion, nine hundred forty million, four hundred sixteen thousand, seventy-two".