29676241389096 has 256 divisors, whose sum is σ = 83068001280000. Its totient is φ = 9816392975616.

The previous prime is 29676241389029. The next prime is 29676241389121. The reversal of 29676241389096 is 69098314267692.

29676241389096 is a `hidden beast` number, since 2 + 9 + 67 + 62 + 41 + 389 + 0 + 96 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 22499045125 + ... + 22499046443.

It is an arithmetic number, because the mean of its divisors is an integer number (324484380000).

Almost surely, 2^{29676241389096} 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 29676241389096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41534000640000).

29676241389096 is an abundant number, since it is smaller than the sum of its proper divisors (53391759890904).

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

29676241389096 is a wasteful number, since it uses less digits than its factorization.

29676241389096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 29676241389096 in words is "twenty-nine trillion, six hundred seventy-six billion, two hundred forty-one million, three hundred eighty-nine thousand, ninety-six".