29090119680 has 400 divisors, whose sum is σ = 105054632100. Its totient is φ = 7700742144.

The previous prime is 29090119679. The next prime is 29090119691. The reversal of 29090119680 is 8691109092.

It can be written as a sum of positive squares in 2 ways, for example, as 29068886016 + 21233664 = 170496^2 + 4608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212336572 + ... + 212336708.

Almost surely, 2^29090119680 is an apocalyptic number.

29090119680 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 29090119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52527316050).

29090119680 is an abundant number, since it is smaller than the sum of its proper divisors (75964512420).

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

29090119680 is an frugal number, since it uses more digits than its factorization.

29090119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 29090119680 in words is "twenty-nine billion, ninety million, one hundred nineteen thousand, six hundred eighty".