29280019104 has 192 divisors, whose sum is σ = 97851559680. Its totient is φ = 8344166400.

The previous prime is 29280019081. The next prime is 29280019117. The reversal of 29280019104 is 40191008292.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2419212 + ... + 2431284.

It is an arithmetic number, because the mean of its divisors is an integer number (509643540).

Almost surely, 2^29280019104 is an apocalyptic number.

29280019104 is a gapful number since it is divisible by the number (24) 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 29280019104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48925779840).

29280019104 is an abundant number, since it is smaller than the sum of its proper divisors (68571540576).

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

29280019104 is a wasteful number, since it uses less digits than its factorization.

29280019104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 29280019104 in words is "twenty-nine billion, two hundred eighty million, nineteen thousand, one hundred four".