13233827880 has 288 divisors, whose sum is σ = 53881518600. Its totient is φ = 2792143872.

The previous prime is 13233827879. The next prime is 13233827923. The reversal of 13233827880 is 8872833231.

It can be written as a sum of positive squares in 4 ways, for example, as 4796670564 + 8437157316 = 69258^2 + 91854^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200466 + ... + 258174.

Almost surely, 2^13233827880 is an apocalyptic number.

13233827880 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 13233827880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26940759300).

13233827880 is an abundant number, since it is smaller than the sum of its proper divisors (40647690720).

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

13233827880 is a wasteful number, since it uses less digits than its factorization.

13233827880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57753 (or 57739 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13233827880 in words is "thirteen billion, two hundred thirty-three million, eight hundred twenty-seven thousand, eight hundred eighty".