13232882880 has 672 divisors, whose sum is σ = 55346803200. Its totient is φ = 2834694144.

The previous prime is 13232882879. The next prime is 13232882893. The reversal of 13232882880 is 8828823231.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 68564064 + ... + 68564256.

Almost surely, 2^13232882880 is an apocalyptic number.

13232882880 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 13232882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27673401600).

13232882880 is an abundant number, since it is smaller than the sum of its proper divisors (42113920320).

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

13232882880 is a wasteful number, since it uses less digits than its factorization.

13232882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 13232882880 in words is "thirteen billion, two hundred thirty-two million, eight hundred eighty-two thousand, eight hundred eighty".