1099128268800 has 1296 divisors, whose sum is σ = 4292906173920. Its totient is φ = 278678568960.

The previous prime is 1099128268793. The next prime is 1099128268801. The reversal of 1099128268800 is 88628219901.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (1099128268801) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 6581606317 + ... + 6581606483.

Almost surely, 2^{1099128268800} is an apocalyptic number.

1099128268800 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 1099128268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146453086960).

1099128268800 is an abundant number, since it is smaller than the sum of its proper divisors (3193777905120).

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

1099128268800 is an equidigital number, since it uses as much as digits as its factorization.

1099128268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 1099128268800 in words is "one trillion, ninety-nine billion, one hundred twenty-eight million, two hundred sixty-eight thousand, eight hundred".