29941750272000 has 2496 divisors, whose sum is σ = 122949081335808. Its totient is φ = 6440878080000.

The previous prime is 29941750271963. The next prime is 29941750272013. The reversal of 29941750272000 is 27205714992.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95660543844 + ... + 95660544156.

It is an arithmetic number, because the mean of its divisors is an integer number (49258446048).

Almost surely, 2^{29941750272000} is an apocalyptic number.

29941750272000 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 29941750272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61474540667904).

29941750272000 is an abundant number, since it is smaller than the sum of its proper divisors (93007331063808).

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

29941750272000 is a wasteful number, since it uses less digits than its factorization.

29941750272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

Adding to 29941750272000 its reverse (27205714992), we get a palindrome (29968955986992).

The spelling of 29941750272000 in words is "twenty-nine trillion, nine hundred forty-one billion, seven hundred fifty million, two hundred seventy-two thousand".