29801937312 has 480 divisors, whose sum is σ = 108120241152. Its totient is φ = 7858446336.

The previous prime is 29801937307. The next prime is 29801937343. The reversal of 29801937312 is 21373910892.

29801937312 is a `hidden beast` number, since 298 + 0 + 19 + 37 + 312 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16346833 + ... + 16348655.

Almost surely, 2^29801937312 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 29801937312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54060120576).

29801937312 is an abundant number, since it is smaller than the sum of its proper divisors (78318303840).

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

29801937312 is a wasteful number, since it uses less digits than its factorization.

29801937312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 29801937312 in words is "twenty-nine billion, eight hundred one million, nine hundred thirty-seven thousand, three hundred twelve".