29372781312 has 216 divisors, whose sum is σ = 100126484640. Its totient is φ = 8102707200.

The previous prime is 29372781311. The next prime is 29372781329. The reversal of 29372781312 is 21318727392.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (29372781311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 436312 + ... + 499112.

It is an arithmetic number, because the mean of its divisors is an integer number (463548540).

Almost surely, 2^29372781312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29372781312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50063242320).

29372781312 is an abundant number, since it is smaller than the sum of its proper divisors (70753703328).

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

29372781312 is a wasteful number, since it uses less digits than its factorization.

29372781312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62859 (or 62842 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 29372781312 in words is "twenty-nine billion, three hundred seventy-two million, seven hundred eighty-one thousand, three hundred twelve".