109009609876800 has 252 divisors, whose sum is σ = 401795741162816. Its totient is φ = 29069229196800.

The previous prime is 109009609876789. The next prime is 109009609876829. The reversal of 109009609876800 is 8678906900901.

109009609876800 is a `hidden beast` number, since 10 + 9 + 0 + 0 + 9 + 609 + 8 + 7 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×109009609876800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139798456 + ... + 140576055.

Almost surely, 2^{109009609876800} is an apocalyptic number.

109009609876800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109009609876800 is an abundant number, since it is smaller than the sum of its proper divisors (292786131286016).

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

109009609876800 is an equidigital number, since it uses as much as digits as its factorization.

109009609876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280374548 (or 280374521 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 109009609876800 in words is "one hundred nine trillion, nine billion, six hundred nine million, eight hundred seventy-six thousand, eight hundred".