66295915610112 has 672 divisors, whose sum is σ = 204866505256140. Its totient is φ = 21427994492928.

The previous prime is 66295915610101. The next prime is 66295915610123. The reversal of 66295915610112 is 21101651959266.

66295915610112 is a `hidden beast` number, since 6 + 6 + 2 + 9 + 5 + 9 + 1 + 5 + 610 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (66295915610101) and next prime (66295915610123).

It can be written as a sum of positive squares in 2 ways, for example, as 50882313977856 + 15413601632256 = 7133184^2 + 3926016^2 .

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 (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 226265923438 + ... + 226265923730.

Almost surely, 2^{66295915610112} 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 66295915610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102433252628070).

66295915610112 is an abundant number, since it is smaller than the sum of its proper divisors (138570589646028).

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

66295915610112 is an frugal number, since it uses more digits than its factorization.

66295915610112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 66295915610112 in words is "sixty-six trillion, two hundred ninety-five billion, nine hundred fifteen million, six hundred ten thousand, one hundred twelve".