109962318668800 has 528 divisors, whose sum is σ = 316672828798032. Its totient is φ = 37492044595200.

The previous prime is 109962318668767. The next prime is 109962318668821. The reversal of 109962318668800 is 8866813269901.

It can be written as a sum of positive squares in 24 ways, for example, as 69484628033536 + 40477690635264 = 8335744^2 + 6362208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299669440 + ... + 300036160.

Almost surely, 2^{109962318668800} is an apocalyptic number.

109962318668800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109962318668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158336414399016).

109962318668800 is an abundant number, since it is smaller than the sum of its proper divisors (206710510129232).

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

109962318668800 is a wasteful number, since it uses less digits than its factorization.

109962318668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366834 (or 366811 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 67.

The spelling of 109962318668800 in words is "one hundred nine trillion, nine hundred sixty-two billion, three hundred eighteen million, six hundred sixty-eight thousand, eight hundred".