104272699120128 has 2880 divisors, whose sum is σ = 412305530757120. Its totient is φ = 25718280192000.

The previous prime is 104272699120099. The next prime is 104272699120141. The reversal of 104272699120128 is 821021996272401.

104272699120128 is a `hidden beast` number, since 1 + 0 + 4 + 272 + 69 + 91 + 201 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 192740663538 + ... + 192740664078.

It is an arithmetic number, because the mean of its divisors is an integer number (143161642624).

Almost surely, 2^{104272699120128} is an apocalyptic number.

104272699120128 is a gapful number since it is divisible by the number (18) 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 104272699120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206152765378560).

104272699120128 is an abundant number, since it is smaller than the sum of its proper divisors (308032831636992).

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

104272699120128 is an equidigital number, since it uses as much as digits as its factorization.

104272699120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 104272699120128 in words is "one hundred four trillion, two hundred seventy-two billion, six hundred ninety-nine million, one hundred twenty thousand, one hundred twenty-eight".