29782038816 has 144 divisors (see below), whose sum is σ = 87881432184. Its totient is φ = 9559130112.

The previous prime is 29782038787. The next prime is 29782038817. The reversal of 29782038816 is 61883028792.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25729443216 + 4052595600 = 160404^2 + 63660^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (29782038817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019226 + ... + 1048038.

Almost surely, 2^29782038816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29782038816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43940716092).

29782038816 is an abundant number, since it is smaller than the sum of its proper divisors (58099393368).

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

29782038816 is a wasteful number, since it uses less digits than its factorization.

29782038816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28963 (or 28952 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 29782038816 in words is "twenty-nine billion, seven hundred eighty-two million, thirty-eight thousand, eight hundred sixteen".