2099128711680 has 1920 divisors, whose sum is σ = 10125467928576. Its totient is φ = 402510643200.

The previous prime is 2099128711649. The next prime is 2099128711703. The reversal of 2099128711680 is 861178219902.

It is a happy number.

2099128711680 is a `hidden beast` number, since 209 + 91 + 287 + 11 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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 191 ways as a sum of consecutive naturals, for example, 622700395 + ... + 622703765.

Almost surely, 2^{2099128711680} is an apocalyptic number.

2099128711680 is a gapful number since it is divisible by the number (20) 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 2099128711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062733964288).

2099128711680 is an abundant number, since it is smaller than the sum of its proper divisors (8026339216896).

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

2099128711680 is a wasteful number, since it uses less digits than its factorization.

2099128711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 2099128711680 in words is "two trillion, ninety-nine billion, one hundred twenty-eight million, seven hundred eleven thousand, six hundred eighty".