29006420352 has 512 divisors, whose sum is σ = 97995985920. Its totient is φ = 7399931904.

The previous prime is 29006420329. The next prime is 29006420383. The reversal of 29006420352 is 25302460092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211725628 + ... + 211725764.

It is an arithmetic number, because the mean of its divisors is an integer number (191398410).

Almost surely, 2^29006420352 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 29006420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48997992960).

29006420352 is an abundant number, since it is smaller than the sum of its proper divisors (68989565568).

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

29006420352 is a wasteful number, since it uses less digits than its factorization.

29006420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 29006420352 in words is "twenty-nine billion, six million, four hundred twenty thousand, three hundred fifty-two".