29117088000000 has 4032 divisors, whose sum is σ = 142534888030080. Its totient is φ = 5529600000000.

The previous prime is 29117087999963. The next prime is 29117088000059. The reversal of 29117088000000 is 88071192.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 288287999950 + ... + 288288000050.

It is an arithmetic number, because the mean of its divisors is an integer number (35350914690).

Almost surely, 2^{29117088000000} is an apocalyptic number.

29117088000000 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 29117088000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71267444015040).

29117088000000 is an abundant number, since it is smaller than the sum of its proper divisors (113417800030080).

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

29117088000000 is a wasteful number, since it uses less digits than its factorization.

29117088000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 29117088000000 in words is "twenty-nine trillion, one hundred seventeen billion, eighty-eight million", and thus it is an aban number.