66859653120000 has 2400 divisors, whose sum is σ = 260021212577280. Its totient is φ = 15138816000000.

The previous prime is 66859653119983. The next prime is 66859653120017. The reversal of 66859653120000 is 2135695866.

It is an interprime number because it is at equal distance from previous prime (66859653119983) and next prime (66859653120017).

It is a tau number, because it is divible by the number of its divisors (2400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 266373119875 + ... + 266373120125.

Almost surely, 2^{66859653120000} is an apocalyptic number.

66859653120000 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 66859653120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130010606288640).

66859653120000 is an abundant number, since it is smaller than the sum of its proper divisors (193161559457280).

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

66859653120000 is a wasteful number, since it uses less digits than its factorization.

66859653120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 66859653120000 in words is "sixty-six trillion, eight hundred fifty-nine billion, six hundred fifty-three million, one hundred twenty thousand".