29380095648 has 144 divisors (see below), whose sum is σ = 85434725376. Its totient is φ = 9574871040.

The previous prime is 29380095629. The next prime is 29380095653. The reversal of 29380095648 is 84659008392.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 29380095594 and 29380095603.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2312353 + ... + 2325023.

It is an arithmetic number, because the mean of its divisors is an integer number (593296704).

Almost surely, 2^29380095648 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 29380095648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42717362688).

29380095648 is an abundant number, since it is smaller than the sum of its proper divisors (56054629728).

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

29380095648 is a wasteful number, since it uses less digits than its factorization.

29380095648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12867 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 29380095648 in words is "twenty-nine billion, three hundred eighty million, ninety-five thousand, six hundred forty-eight".