27066493396800 has 2688 divisors, whose sum is σ = 124047565447680. Its totient is φ = 5639661158400.

The previous prime is 27066493396739. The next prime is 27066493396843. The reversal of 27066493396800 is 869339466072.

27066493396800 is a `hidden beast` number, since 2 + 7 + 0 + 66 + 493 + 3 + 9 + 6 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10186861072 + ... + 10186863728.

It is an arithmetic number, because the mean of its divisors is an integer number (46148647860).

Almost surely, 2^{27066493396800} is an apocalyptic number.

27066493396800 is a gapful number since it is divisible by the number (20) 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 27066493396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62023782723840).

27066493396800 is an abundant number, since it is smaller than the sum of its proper divisors (96981072050880).

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

27066493396800 is a wasteful number, since it uses less digits than its factorization.

27066493396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 27066493396800 in words is "twenty-seven trillion, sixty-six billion, four hundred ninety-three million, three hundred ninety-six thousand, eight hundred".