29012256000 has 1728 divisors, whose sum is σ = 136494199296. Its totient is φ = 5971968000.

The previous prime is 29012255983. The next prime is 29012256023. The reversal of 29012256000 is 65221092.

29012256000 is a `hidden beast` number, since 2 + 90 + 12 + 2 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 707615980 + ... + 707616020.

Almost surely, 2^29012256000 is an apocalyptic number.

29012256000 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 29012256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68247099648).

29012256000 is an abundant number, since it is smaller than the sum of its proper divisors (107481943296).

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

29012256000 is an equidigital number, since it uses as much as digits as its factorization.

29012256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 29012256000 its reverse (65221092), we get a palindrome (29077477092).

The spelling of 29012256000 in words is "twenty-nine billion, twelve million, two hundred fifty-six thousand".