29956325980032 has 128 divisors (see below), whose sum is σ = 88450081075200. Its totient is φ = 9981227773440.

The previous prime is 29956325979971. The next prime is 29956325980037. The reversal of 29956325980032 is 23008952365992.

29956325980032 is a `hidden beast` number, since 2 + 9 + 9 + 5 + 6 + 3 + 2 + 598 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29956325980037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6366273 + ... + 10022079.

It is an arithmetic number, because the mean of its divisors is an integer number (691016258400).

Almost surely, 2^{29956325980032} 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 29956325980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44225040537600).

29956325980032 is an abundant number, since it is smaller than the sum of its proper divisors (58493755095168).

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

29956325980032 is a wasteful number, since it uses less digits than its factorization.

29956325980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658201 (or 3658183 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 29956325980032 in words is "twenty-nine trillion, nine hundred fifty-six billion, three hundred twenty-five million, nine hundred eighty thousand, thirty-two".