66081873250800 has 720 divisors, whose sum is σ = 253303441792128. Its totient is φ = 15819375974400.

The previous prime is 66081873250769. The next prime is 66081873250807. The reversal of 66081873250800 is 805237818066.

66081873250800 is a `hidden beast` number, since 6 + 60 + 8 + 1 + 8 + 73 + 2 + 508 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66081873250807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10527617262 + ... + 10527623538.

Almost surely, 2^{66081873250800} is an apocalyptic number.

66081873250800 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 66081873250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126651720896064).

66081873250800 is an abundant number, since it is smaller than the sum of its proper divisors (187221568541328).

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

66081873250800 is a wasteful number, since it uses less digits than its factorization.

66081873250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9598 (or 9584 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 66081873250800 in words is "sixty-six trillion, eighty-one billion, eight hundred seventy-three million, two hundred fifty thousand, eight hundred".