29199089952 has 288 divisors, whose sum is σ = 91113422400. Its totient is φ = 9172942848.

The previous prime is 29199089903. The next prime is 29199089963. The reversal of 29199089952 is 25998099192.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 29199089952.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37969824 + ... + 37970592.

It is an arithmetic number, because the mean of its divisors is an integer number (316366050).

Almost surely, 2^29199089952 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 29199089952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45556711200).

29199089952 is an abundant number, since it is smaller than the sum of its proper divisors (61914332448).

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

29199089952 is a wasteful number, since it uses less digits than its factorization.

29199089952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 29199089952 in words is "twenty-nine billion, one hundred ninety-nine million, eighty-nine thousand, nine hundred fifty-two".