29429068800 has 528 divisors, whose sum is σ = 102928269312. Its totient is φ = 7404748800.

The previous prime is 29429068789. The next prime is 29429068829. The reversal of 29429068800 is 886092492.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29429068800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111897469 + ... + 111897731.

It is an arithmetic number, because the mean of its divisors is an integer number (194939904).

Almost surely, 2^29429068800 is an apocalyptic number.

29429068800 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 29429068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51464134656).

29429068800 is an abundant number, since it is smaller than the sum of its proper divisors (73499200512).

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

29429068800 is a wasteful number, since it uses less digits than its factorization.

29429068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 29429068800 in words is "twenty-nine billion, four hundred twenty-nine million, sixty-eight thousand, eight hundred".