10097441868672 has 96 divisors (see below), whose sum is σ = 29732172121080. Its totient is φ = 3287539196928.

The previous prime is 10097441868641. The next prime is 10097441868673. The reversal of 10097441868672 is 27686814479001.

10097441868672 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 74 + 418 + 6 + 86 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097441868673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101870703 + ... + 101969774.

Almost surely, 2^{10097441868672} is an apocalyptic number.

10097441868672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10097441868672 is an abundant number, since it is smaller than the sum of its proper divisors (19634730252408).

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

10097441868672 is a wasteful number, since it uses less digits than its factorization.

10097441868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203840540 (or 203840525 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 10097441868672 in words is "ten trillion, ninety-seven billion, four hundred forty-one million, eight hundred sixty-eight thousand, six hundred seventy-two".