109204780608000 has 9600 divisors, whose sum is σ = 580101562909440. Its totient is φ = 20233027584000.

The previous prime is 109204780607969. The next prime is 109204780608059. The reversal of 109204780608000 is 806087402901.

109204780608000 is a `hidden beast` number, since 10 + 9 + 20 + 4 + 7 + 8 + 0 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9600).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 959 ways as a sum of consecutive naturals, for example, 5747620031991 + ... + 5747620032009.

Almost surely, 2^{109204780608000} is an apocalyptic number.

109204780608000 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 109204780608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290050781454720).

109204780608000 is an abundant number, since it is smaller than the sum of its proper divisors (470896782301440).

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

109204780608000 is an equidigital number, since it uses as much as digits as its factorization.

109204780608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 109204780608000 in words is "one hundred nine trillion, two hundred four billion, seven hundred eighty million, six hundred eight thousand".