29993798016 has 512 divisors, whose sum is σ = 109661260800. Its totient is φ = 7859109888.

The previous prime is 29993798011. The next prime is 29993798017. The reversal of 29993798016 is 61089739992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29993798011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89002200 + ... + 89002536.

It is an arithmetic number, because the mean of its divisors is an integer number (214182150).

Almost surely, 2^29993798016 is an apocalyptic number.

29993798016 is a gapful number since it is divisible by the number (26) 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 29993798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54830630400).

29993798016 is an abundant number, since it is smaller than the sum of its proper divisors (79667462784).

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

29993798016 is a wasteful number, since it uses less digits than its factorization.

29993798016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 29993798016 in words is "twenty-nine billion, nine hundred ninety-three million, seven hundred ninety-eight thousand, sixteen".