29098933920 has 576 divisors, whose sum is σ = 119094603264. Its totient is φ = 6325862400.

The previous prime is 29098933859. The next prime is 29098933933. The reversal of 29098933920 is 2933989092.

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 95 ways as a sum of consecutive naturals, for example, 72565720 + ... + 72566120.

It is an arithmetic number, because the mean of its divisors is an integer number (206761464).

Almost surely, 2^29098933920 is an apocalyptic number.

29098933920 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 29098933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59547301632).

29098933920 is an abundant number, since it is smaller than the sum of its proper divisors (89995669344).

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

29098933920 is a wasteful number, since it uses less digits than its factorization.

29098933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 29098933920 in words is "twenty-nine billion, ninety-eight million, nine hundred thirty-three thousand, nine hundred twenty".