10197308640800 has 54 divisors (see below), whose sum is σ = 24894400216959. Its totient is φ = 4078887328000.

The previous prime is 10197308640797. The next prime is 10197308640821. The reversal of 10197308640800 is 804680379101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 9325034830864 + 872273809936 = 3053692^2 + 933956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2258020.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90264350 + ... + 90377250.

Almost surely, 2^{10197308640800} is an apocalyptic number.

10197308640800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10197308640800 is an abundant number, since it is smaller than the sum of its proper divisors (14697091576159).

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

10197308640800 is an frugal number, since it uses more digits than its factorization.

10197308640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225822 (or 112908 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 10197308640800 in words is "ten trillion, one hundred ninety-seven billion, three hundred eight million, six hundred forty thousand, eight hundred".