13338217772880 has 1600 divisors, whose sum is σ = 57440500144128. Its totient is φ = 2485589483520.

The previous prime is 13338217772827. The next prime is 13338217772909. The reversal of 13338217772880 is 8827771283331.

It is a happy number.

13338217772880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19528869019 + ... + 19528869701.

Almost surely, 2^{13338217772880} is an apocalyptic number.

13338217772880 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 13338217772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28720250072064).

13338217772880 is an abundant number, since it is smaller than the sum of its proper divisors (44102282371248).

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

13338217772880 is a wasteful number, since it uses less digits than its factorization.

13338217772880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 13338217772880 in words is "thirteen trillion, three hundred thirty-eight billion, two hundred seventeen million, seven hundred seventy-two thousand, eight hundred eighty".