29885638080 has 448 divisors, whose sum is σ = 103653457920. Its totient is φ = 7270502400.

The previous prime is 29885638063. The next prime is 29885638093. The reversal of 29885638080 is 8083658892.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 29885638080.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 60866635 + ... + 60867125.

Almost surely, 2^29885638080 is an apocalyptic number.

29885638080 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 29885638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51826728960).

29885638080 is an abundant number, since it is smaller than the sum of its proper divisors (73767819840).

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

29885638080 is a wasteful number, since it uses less digits than its factorization.

29885638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 29885638080 in words is "twenty-nine billion, eight hundred eighty-five million, six hundred thirty-eight thousand, eighty".