1999967796288 has 1680 divisors, whose sum is σ = 7812132362496. Its totient is φ = 499973160960.

The previous prime is 1999967796263. The next prime is 1999967796311. The reversal of 1999967796288 is 8826977699991.

1999967796288 is a `hidden beast` number, since 1 + 9 + 99 + 96 + 77 + 96 + 288 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13332791808) is a multiple of the sum of its prime divisors (324).

It is a junction number, because it is equal to n+sod(n) for n = 1999967796198 and 1999967796207.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12738648306 + ... + 12738648462.

Almost surely, 2^{1999967796288} is an apocalyptic number.

1999967796288 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 1999967796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906066181248).

1999967796288 is an abundant number, since it is smaller than the sum of its proper divisors (5812164566208).

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

1999967796288 is a wasteful number, since it uses less digits than its factorization.

1999967796288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 324 counting only the distinct ones).

The product of its digits is 13332791808, while the sum is 90.

The spelling of 1999967796288 in words is "one trillion, nine hundred ninety-nine billion, nine hundred sixty-seven million, seven hundred ninety-six thousand, two hundred eighty-eight".