1099801152000 has 800 divisors, whose sum is σ = 4115147019984. Its totient is φ = 291962880000.

The previous prime is 1099801151963. The next prime is 1099801152031. The reversal of 1099801152000 is 2511089901.

It can be written as a sum of positive squares in 8 ways, for example, as 108836649216 + 990964502784 = 329904^2 + 995472^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1829951700 + ... + 1829952300.

Almost surely, 2^{1099801152000} is an apocalyptic number.

1099801152000 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 1099801152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057573509992).

1099801152000 is an abundant number, since it is smaller than the sum of its proper divisors (3015345867984).

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

1099801152000 is an frugal number, since it uses more digits than its factorization.

1099801152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 1099801152000 in words is "one trillion, ninety-nine billion, eight hundred one million, one hundred fifty-two thousand".