66065574199296 has 1088 divisors, whose sum is σ = 213372347351040. Its totient is φ = 17788714352640.

The previous prime is 66065574199253. The next prime is 66065574199301. The reversal of 66065574199296 is 69299147556066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482230468540 + ... + 482230468676.

Almost surely, 2^{66065574199296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66065574199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686173675520).

66065574199296 is an abundant number, since it is smaller than the sum of its proper divisors (147306773151744).

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

66065574199296 is a wasteful number, since it uses less digits than its factorization.

66065574199296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1322697600, while the sum is 75.

The spelling of 66065574199296 in words is "sixty-six trillion, sixty-five billion, five hundred seventy-four million, one hundred ninety-nine thousand, two hundred ninety-six".