29006680000 has 280 divisors, whose sum is σ = 76984981920. Its totient is φ = 10813440000.

The previous prime is 29006679983. The next prime is 29006680007. The reversal of 29006680000 is 8660092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29006680007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37719616 + ... + 37720384.

It is an arithmetic number, because the mean of its divisors is an integer number (274946364).

Almost surely, 2^29006680000 is an apocalyptic number.

29006680000 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 29006680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38492490960).

29006680000 is an abundant number, since it is smaller than the sum of its proper divisors (47978301920).

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

29006680000 is an equidigital number, since it uses as much as digits as its factorization.

29006680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 29006680000 in words is "twenty-nine billion, six million, six hundred eighty thousand".