66135113280 has 196 divisors, whose sum is σ = 236119176732. Its totient is φ = 17635968000.

The previous prime is 66135113279. The next prime is 66135113293. The reversal of 66135113280 is 8231153166.

66135113280 is a `hidden beast` number, since 6 + 61 + 3 + 511 + 3 + 2 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47499587136 + 18635526144 = 217944^2 + 136512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 91530 + ... + 375030.

Almost surely, 2^66135113280 is an apocalyptic number.

66135113280 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 66135113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118059588366).

66135113280 is an abundant number, since it is smaller than the sum of its proper divisors (169984063452).

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

66135113280 is an equidigital number, since it uses as much as digits as its factorization.

66135113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283536 (or 283511 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 66135113280 in words is "sixty-six billion, one hundred thirty-five million, one hundred thirteen thousand, two hundred eighty".