29948034781280 has 1152 divisors, whose sum is σ = 93080407827456. Its totient is φ = 8905038151680.

The previous prime is 29948034781237. The next prime is 29948034781289. The reversal of 29948034781280 is 8218743084992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29948034781289) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94473295682 + ... + 94473295998.

It is an arithmetic number, because the mean of its divisors is an integer number (80798965128).

Almost surely, 2^{29948034781280} is an apocalyptic number.

29948034781280 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 29948034781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46540203913728).

29948034781280 is an abundant number, since it is smaller than the sum of its proper divisors (63132373046176).

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

29948034781280 is a wasteful number, since it uses less digits than its factorization.

29948034781280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 65.

The spelling of 29948034781280 in words is "twenty-nine trillion, nine hundred forty-eight billion, thirty-four million, seven hundred eighty-one thousand, two hundred eighty".