66082781184000 has 1440 divisors, whose sum is σ = 256633392078336. Its totient is φ = 14792549990400.

The previous prime is 66082781183941. The next prime is 66082781184011. The reversal of 66082781184000 is 48118728066.

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, 120809471727 + ... + 120809472273.

Almost surely, 2^{66082781184000} is an apocalyptic number.

66082781184000 is a gapful number since it is divisible by the number (60) 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 66082781184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128316696039168).

66082781184000 is an abundant number, since it is smaller than the sum of its proper divisors (190550610894336).

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

66082781184000 is an frugal number, since it uses more digits than its factorization.

66082781184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 66082781184000 in words is "sixty-six trillion, eighty-two billion, seven hundred eighty-one million, one hundred eighty-four thousand".