66990251059200 has 1440 divisors, whose sum is σ = 287075372875200. Its totient is φ = 15311298723840.

The previous prime is 66990251059157. The next prime is 66990251059219. The reversal of 66990251059200 is 295015209966.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3319132309 + ... + 3319152491.

It is an arithmetic number, because the mean of its divisors is an integer number (199357897830).

Almost surely, 2^{66990251059200} is an apocalyptic number.

66990251059200 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 66990251059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143537686437600).

66990251059200 is an abundant number, since it is smaller than the sum of its proper divisors (220085121816000).

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

66990251059200 is an equidigital number, since it uses as much as digits as its factorization.

66990251059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20252 (or 20200 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 66990251059200 in words is "sixty-six trillion, nine hundred ninety billion, two hundred fifty-one million, fifty-nine thousand, two hundred".