29171961888 has 96 divisors (see below), whose sum is σ = 77947168320. Its totient is φ = 9550233600.

The previous prime is 29171961883. The next prime is 29171961901. The reversal of 29171961888 is 88816917192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (29171961883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9066456 + ... + 9069672.

It is an arithmetic number, because the mean of its divisors is an integer number (811949670).

Almost surely, 2^29171961888 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 29171961888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38973584160).

29171961888 is an abundant number, since it is smaller than the sum of its proper divisors (48775206432).

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

29171961888 is a wasteful number, since it uses less digits than its factorization.

29171961888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4882 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 60.

The spelling of 29171961888 in words is "twenty-nine billion, one hundred seventy-one million, nine hundred sixty-one thousand, eight hundred eighty-eight".