29805252048 has 640 divisors, whose sum is σ = 105593241600. Its totient is φ = 7925299200.

The previous prime is 29805252013. The next prime is 29805252049. The reversal of 29805252048 is 84025250892.

29805252048 is a `hidden beast` number, since 2 + 9 + 80 + 5 + 2 + 520 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29805251994 and 29805252012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29805252049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227520943 + ... + 227521073.

It is an arithmetic number, because the mean of its divisors is an integer number (164989440).

Almost surely, 2^29805252048 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 29805252048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52796620800).

29805252048 is an abundant number, since it is smaller than the sum of its proper divisors (75787989552).

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

29805252048 is a wasteful number, since it uses less digits than its factorization.

29805252048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 29805252048 in words is "twenty-nine billion, eight hundred five million, two hundred fifty-two thousand, forty-eight".