29852196480 has 288 divisors, whose sum is σ = 106535653380. Its totient is φ = 7702364160.

The previous prime is 29852196467. The next prime is 29852196481. The reversal of 29852196480 is 8469125892.

It is a happy number.

29852196480 is a `hidden beast` number, since 29 + 8 + 52 + 1 + 96 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28523156544 + 1329039936 = 168888^2 + 36456^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (29852196481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5532664 + ... + 5538056.

Almost surely, 2^29852196480 is an apocalyptic number.

29852196480 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 29852196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53267826690).

29852196480 is an abundant number, since it is smaller than the sum of its proper divisors (76683456900).

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

29852196480 is a wasteful number, since it uses less digits than its factorization.

29852196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 29852196480 in words is "twenty-nine billion, eight hundred fifty-two million, one hundred ninety-six thousand, four hundred eighty".