13335838880 has 192 divisors, whose sum is σ = 38952845568. Its totient is φ = 4201390080.

The previous prime is 13335838843. The next prime is 13335838897. The reversal of 13335838880 is 8883853331.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3390515 + ... + 3394445.

It is an arithmetic number, because the mean of its divisors is an integer number (202879404).

Almost surely, 2^13335838880 is an apocalyptic number.

13335838880 is a gapful number since it is divisible by the number (10) 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 13335838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476422784).

13335838880 is an abundant number, since it is smaller than the sum of its proper divisors (25617006688).

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

13335838880 is a wasteful number, since it uses less digits than its factorization.

13335838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 13335838880 in words is "thirteen billion, three hundred thirty-five million, eight hundred thirty-eight thousand, eight hundred eighty".