29093084640 has 288 divisors, whose sum is σ = 105314489280. Its totient is φ = 7288307712.

The previous prime is 29093084633. The next prime is 29093084641. The reversal of 29093084640 is 4648039092.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29093084641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23671546 + ... + 23672774.

It is an arithmetic number, because the mean of its divisors is an integer number (365675310).

Almost surely, 2^29093084640 is an apocalyptic number.

29093084640 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 29093084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52657244640).

29093084640 is an abundant number, since it is smaller than the sum of its proper divisors (76221404640).

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

29093084640 is a wasteful number, since it uses less digits than its factorization.

29093084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 29093084640 in words is "twenty-nine billion, ninety-three million, eighty-four thousand, six hundred forty".