10168976800 has 36 divisors (see below), whose sum is σ = 24825016566. Its totient is φ = 4067590400.

The previous prime is 10168976773. The next prime is 10168976803. The reversal of 10168976800 is 867986101.

It can be written as a sum of positive squares in 3 ways, for example, as 7179511824 + 2989464976 = 84732^2 + 54676^2 .

It is not an unprimeable number, because it can be changed into a prime (10168976803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6354811 + ... + 6356410.

Almost surely, 2^10168976800 is an apocalyptic number.

10168976800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10168976800 is an abundant number, since it is smaller than the sum of its proper divisors (14656039766).

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

10168976800 is a wasteful number, since it uses less digits than its factorization.

10168976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12711241 (or 12711228 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 10168976800 in words is "ten billion, one hundred sixty-eight million, nine hundred seventy-six thousand, eight hundred".