29235912066 has 240 divisors, whose sum is σ = 72144376920. Its totient is φ = 8841000960.

The previous prime is 29235912059. The next prime is 29235912077. The reversal of 29235912066 is 66021953292.

29235912066 is a `hidden beast` number, since 2 + 92 + 359 + 1 + 206 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14287181841 + 14948730225 = 119529^2 + 122265^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 213400750 + ... + 213400886.

Almost surely, 2^29235912066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29235912066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072188460).

29235912066 is an abundant number, since it is smaller than the sum of its proper divisors (42908464854).

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

29235912066 is a wasteful number, since it uses less digits than its factorization.

29235912066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 29235912066 in words is "twenty-nine billion, two hundred thirty-five million, nine hundred twelve thousand, sixty-six".