13029228576 has 864 divisors, whose sum is σ = 50193561600. Its totient is φ = 3170119680.

The previous prime is 13029228557. The next prime is 13029228599. The reversal of 13029228576 is 67582292031.

13029228576 is a `hidden beast` number, since 1 + 30 + 29 + 2 + 28 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 164926905 + ... + 164926983.

It is an arithmetic number, because the mean of its divisors is an integer number (58094400).

Almost surely, 2^13029228576 is an apocalyptic number.

13029228576 is a gapful number since it is divisible by the number (16) 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 13029228576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096780800).

13029228576 is an abundant number, since it is smaller than the sum of its proper divisors (37164333024).

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

13029228576 is a wasteful number, since it uses less digits than its factorization.

13029228576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13029228576 in words is "thirteen billion, twenty-nine million, two hundred twenty-eight thousand, five hundred seventy-six".