29568240000 has 960 divisors, whose sum is σ = 119540797200. Its totient is φ = 7278336000.

The previous prime is 29568239999. The next prime is 29568240041. The reversal of 29568240000 is 4286592.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2274479994 + ... + 2274480006.

Almost surely, 2^29568240000 is an apocalyptic number.

29568240000 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 29568240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59770398600).

29568240000 is an abundant number, since it is smaller than the sum of its proper divisors (89972557200).

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

29568240000 is an frugal number, since it uses more digits than its factorization.

29568240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 29568240000 in words is "twenty-nine billion, five hundred sixty-eight million, two hundred forty thousand".