1326903288480 has 1920 divisors, whose sum is σ = 6070157452800. Its totient is φ = 268268267520.

The previous prime is 1326903288463. The next prime is 1326903288493. The reversal of 1326903288480 is 848823096231.

1326903288480 is a `hidden beast` number, since 13 + 269 + 0 + 328 + 8 + 48 + 0 = 666.

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

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, 35862251022 + ... + 35862251058.

It is an arithmetic number, because the mean of its divisors is an integer number (3161540340).

Almost surely, 2^{1326903288480} is an apocalyptic number.

1326903288480 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 1326903288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035078726400).

1326903288480 is an abundant number, since it is smaller than the sum of its proper divisors (4743254164320).

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

1326903288480 is an frugal number, since it uses more digits than its factorization.

1326903288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1326903288480 in words is "one trillion, three hundred twenty-six billion, nine hundred three million, two hundred eighty-eight thousand, four hundred eighty".