1611989068800 has 1056 divisors, whose sum is σ = 6217364563200. Its totient is φ = 364013158400.

The previous prime is 1611989068793. The next prime is 1611989068891. The reversal of 1611989068800 is 88609891161.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×1611989068800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1536690676 + ... + 1536691724.

Almost surely, 2^{1611989068800} is an apocalyptic number.

1611989068800 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 1611989068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108682281600).

1611989068800 is an abundant number, since it is smaller than the sum of its proper divisors (4605375494400).

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

1611989068800 is a wasteful number, since it uses less digits than its factorization.

1611989068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 57.

The spelling of 1611989068800 in words is "one trillion, six hundred eleven billion, nine hundred eighty-nine million, sixty-eight thousand, eight hundred".