29169078120 has 384 divisors, whose sum is σ = 120703564800. Its totient is φ = 5941942272.

The previous prime is 29169078119. The next prime is 29169078121. The reversal of 29169078120 is 2187096192.

It is an interprime number because it is at equal distance from previous prime (29169078119) and next prime (29169078121).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (29169078121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 934689 + ... + 965391.

It is an arithmetic number, because the mean of its divisors is an integer number (314332200).

Almost surely, 2^29169078120 is an apocalyptic number.

29169078120 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 29169078120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60351782400).

29169078120 is an abundant number, since it is smaller than the sum of its proper divisors (91534486680).

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

29169078120 is a wasteful number, since it uses less digits than its factorization.

29169078120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30769 (or 30762 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 29169078120 in words is "twenty-nine billion, one hundred sixty-nine million, seventy-eight thousand, one hundred twenty".