13375782288 has 480 divisors, whose sum is σ = 45214070400. Its totient is φ = 3749760000.

The previous prime is 13375782271. The next prime is 13375782307. The reversal of 13375782288 is 88228757331.

13375782288 is a `hidden beast` number, since 13 + 37 + 578 + 2 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 132433438 + ... + 132433538.

It is an arithmetic number, because the mean of its divisors is an integer number (94195980).

Almost surely, 2^13375782288 is an apocalyptic number.

13375782288 is a gapful number since it is divisible by the number (18) 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 13375782288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22607035200).

13375782288 is an abundant number, since it is smaller than the sum of its proper divisors (31838288112).

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

13375782288 is a wasteful number, since it uses less digits than its factorization.

13375782288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 177 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 13375782288 in words is "thirteen billion, three hundred seventy-five million, seven hundred eighty-two thousand, two hundred eighty-eight".