29959945379920 has 40 divisors (see below), whose sum is σ = 71355821138280. Its totient is φ = 11691686000640.

The previous prime is 29959945379911. The next prime is 29959945379921. The reversal of 29959945379920 is 2997354995992.

It can be written as a sum of positive squares in 4 ways, for example, as 4321642268736 + 25638303111184 = 2078856^2 + 5063428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (82).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29959945379921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4567061565 + ... + 4567068124.

It is an arithmetic number, because the mean of its divisors is an integer number (1783895528457).

Almost surely, 2^{29959945379920} is an apocalyptic number.

29959945379920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29959945379920 is an abundant number, since it is smaller than the sum of its proper divisors (41395875758360).

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

29959945379920 is a wasteful number, since it uses less digits than its factorization.

29959945379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134129743 (or 9134129737 counting only the distinct ones).

The product of its (nonzero) digits is 4464104400, while the sum is 82.

The spelling of 29959945379920 in words is "twenty-nine trillion, nine hundred fifty-nine billion, nine hundred forty-five million, three hundred seventy-nine thousand, nine hundred twenty".