66089111001600 has 480 divisors, whose sum is σ = 232984152631296. Its totient is φ = 16456443494400.

The previous prime is 66089111001587. The next prime is 66089111001607. The reversal of 66089111001600 is 610011198066.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (66089111001607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82507020 + ... + 83304180.

Almost surely, 2^{66089111001600} is an apocalyptic number.

66089111001600 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 66089111001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116492076315648).

66089111001600 is an abundant number, since it is smaller than the sum of its proper divisors (166895041629696).

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

66089111001600 is a wasteful number, since it uses less digits than its factorization.

66089111001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797336 (or 797315 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

Adding to 66089111001600 its reverse (610011198066), we get a palindrome (66699122199666).

The spelling of 66089111001600 in words is "sixty-six trillion, eighty-nine billion, one hundred eleven million, one thousand, six hundred".