29850682848 has 288 divisors, whose sum is σ = 94476678912. Its totient is φ = 8083046400.

The previous prime is 29850682831. The next prime is 29850682853. The reversal of 29850682848 is 84828605892.

It is a super-2 number, since 2×29850682848² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29850682791 and 29850682800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46568608 + ... + 46569248.

It is an arithmetic number, because the mean of its divisors is an integer number (328044024).

Almost surely, 2^29850682848 is an apocalyptic number.

29850682848 is a gapful number since it is divisible by the number (28) 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 29850682848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47238339456).

29850682848 is an abundant number, since it is smaller than the sum of its proper divisors (64625996064).

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

29850682848 is a wasteful number, since it uses less digits than its factorization.

29850682848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 29850682848 in words is "twenty-nine billion, eight hundred fifty million, six hundred eighty-two thousand, eight hundred forty-eight".