29686728960 has 864 divisors, whose sum is σ = 125094762240. Its totient is φ = 6529351680.

The previous prime is 29686728947. The next prime is 29686728971. The reversal of 29686728960 is 6982768692.

29686728960 is a `hidden beast` number, since 296 + 8 + 6 + 7 + 289 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406667484 + ... + 406667556.

Almost surely, 2^29686728960 is an apocalyptic number.

29686728960 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 29686728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62547381120).

29686728960 is an abundant number, since it is smaller than the sum of its proper divisors (95408033280).

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

29686728960 is an equidigital number, since it uses as much as digits as its factorization.

29686728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

Adding to 29686728960 its product of nonzero digits (31352832), we get a palindrome (29718081792).

The spelling of 29686728960 in words is "twenty-nine billion, six hundred eighty-six million, seven hundred twenty-eight thousand, nine hundred sixty".