29126609080320 has 832 divisors, whose sum is σ = 104864510822400. Its totient is φ = 6866447892480.

The previous prime is 29126609080273. The next prime is 29126609080333. The reversal of 29126609080320 is 2308090662192.

It is a happy number.

It is a super-2 number, since 2×29126609080320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29126609080320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100807251 + ... + 1100833709.

Almost surely, 2^{29126609080320} is an apocalyptic number.

29126609080320 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 29126609080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52432255411200).

29126609080320 is an abundant number, since it is smaller than the sum of its proper divisors (75737901742080).

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

29126609080320 is a wasteful number, since it uses less digits than its factorization.

29126609080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26574 (or 26552 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 29126609080320 in words is "twenty-nine trillion, one hundred twenty-six billion, six hundred nine million, eighty thousand, three hundred twenty".