29928900869340 has 768 divisors, whose sum is σ = 99632332800000. Its totient is φ = 6640574976000.

The previous prime is 29928900869323. The next prime is 29928900869363. The reversal of 29928900869340 is 4396800982992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10887194286 + ... + 10887197034.

It is an arithmetic number, because the mean of its divisors is an integer number (129729600000).

Almost surely, 2^{29928900869340} is an apocalyptic number.

29928900869340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29928900869340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49816166400000).

29928900869340 is an abundant number, since it is smaller than the sum of its proper divisors (69703431930660).

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

29928900869340 is a wasteful number, since it uses less digits than its factorization.

29928900869340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 69.

The spelling of 29928900869340 in words is "twenty-nine trillion, nine hundred twenty-eight billion, nine hundred million, eight hundred sixty-nine thousand, three hundred forty".