29072110080 has 320 divisors, whose sum is σ = 100739802240. Its totient is φ = 7152058368.

The previous prime is 29072110079. The next prime is 29072110099. The reversal of 29072110080 is 8001127092.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16872099 + ... + 16873821.

It is an arithmetic number, because the mean of its divisors is an integer number (314811882).

Almost surely, 2^29072110080 is an apocalyptic number.

29072110080 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 29072110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50369901120).

29072110080 is an abundant number, since it is smaller than the sum of its proper divisors (71667692160).

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

29072110080 is an equidigital number, since it uses as much as digits as its factorization.

29072110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 29072110080 in words is "twenty-nine billion, seventy-two million, one hundred ten thousand, eighty".