29878735104 has 108 divisors (see below), whose sum is σ = 86266024572. Its totient is φ = 9945907200.

The previous prime is 29878735099. The next prime is 29878735141. The reversal of 29878735104 is 40153787892.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11151360000 + 18727375104 = 105600^2 + 136848^2 .

It is a super-2 number, since 2×29878735104² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1744824 + ... + 1761864.

Almost surely, 2^29878735104 is an apocalyptic number.

29878735104 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 29878735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43133012286).

29878735104 is an abundant number, since it is smaller than the sum of its proper divisors (56387289468).

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

29878735104 is a wasteful number, since it uses less digits than its factorization.

29878735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17824 (or 17807 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 29878735104 in words is "twenty-nine billion, eight hundred seventy-eight million, seven hundred thirty-five thousand, one hundred four".