29794808420160 has 448 divisors, whose sum is σ = 109183733514240. Its totient is φ = 6742859489280.

The previous prime is 29794808420147. The next prime is 29794808420183. The reversal of 29794808420160 is 6102480849792.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 29794808420094 and 29794808420103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1059884505 + ... + 1059912615.

It is an arithmetic number, because the mean of its divisors is an integer number (243713690880).

Almost surely, 2^{29794808420160} is an apocalyptic number.

29794808420160 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 29794808420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54591866757120).

29794808420160 is an abundant number, since it is smaller than the sum of its proper divisors (79388925094080).

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

29794808420160 is a wasteful number, since it uses less digits than its factorization.

29794808420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29694 (or 29684 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 29794808420160 in words is "twenty-nine trillion, seven hundred ninety-four billion, eight hundred eight million, four hundred twenty thousand, one hundred sixty".