29873434929720 has 128 divisors (see below), whose sum is σ = 90296515333440. Its totient is φ = 7906170122240.

The previous prime is 29873434929659. The next prime is 29873434929721. The reversal of 29873434929720 is 2792943437892.

It is a super-2 number, since 2×29873434929720² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29873434929721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67726690 + ... + 68166350.

Almost surely, 2^{29873434929720} is an apocalyptic number.

29873434929720 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 29873434929720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45148257666720).

29873434929720 is an abundant number, since it is smaller than the sum of its proper divisors (60423080403720).

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

29873434929720 is a wasteful number, since it uses less digits than its factorization.

29873434929720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443945 (or 443941 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 69.

The spelling of 29873434929720 in words is "twenty-nine trillion, eight hundred seventy-three billion, four hundred thirty-four million, nine hundred twenty-nine thousand, seven hundred twenty".