29853965089 has 9 divisors (see below), whose sum is σ = 32329507059. Its totient is φ = 27555432840.

The previous prime is 29853965087. The next prime is 29853965107. The reversal of 29853965089 is 98056935892.

The square root of 29853965089 is 172783.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4416267025 + 25437698064 = 66455^2 + 159492^2 .

It is not a de Polignac number, because 29853965089 - 2¹ = 29853965087 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29853965089.

It is not an unprimeable number, because it can be changed into a prime (29853965083) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2239534 + ... + 2252824.

It is an arithmetic number, because the mean of its divisors is an integer number (3592167451).

Almost surely, 2^29853965089 is an apocalyptic number.

29853965089 is the 172783-rd square number.

29853965089 is the 86392-nd centered octagonal number.

It is an amenable number.

29853965089 is a deficient number, since it is larger than the sum of its proper divisors (2475541970).

29853965089 is an frugal number, since it uses more digits than its factorization.

29853965089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26608 (or 13304 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 64.

Multiplying 29853965089 by its sum of digits (64), we get a square (1910653765696 = 1382264²).

The spelling of 29853965089 in words is "twenty-nine billion, eight hundred fifty-three million, nine hundred sixty-five thousand, eighty-nine".