29975292288160 has 48 divisors (see below), whose sum is σ = 71517782802312. Its totient is φ = 11871402880000.

The previous prime is 29975292288133. The next prime is 29975292288169. The reversal of 29975292288160 is 6188229257992.

It can be written as a sum of positive squares in 4 ways, for example, as 29405067950736 + 570224337424 = 5422644^2 + 755132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29975292288160.

It is not an unprimeable number, because it can be changed into a prime (29975292288169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 927437191 + ... + 927469510.

Almost surely, 2^{29975292288160} is an apocalyptic number.

29975292288160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29975292288160 is an abundant number, since it is smaller than the sum of its proper divisors (41542490514152).

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

29975292288160 is a wasteful number, since it uses less digits than its factorization.

29975292288160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854906817 (or 1854906809 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 70.

The spelling of 29975292288160 in words is "twenty-nine trillion, nine hundred seventy-five billion, two hundred ninety-two million, two hundred eighty-eight thousand, one hundred sixty".