1328779555488 has 1728 divisors, whose sum is σ = 5336203017600. Its totient is φ = 308666695680.

The previous prime is 1328779555429. The next prime is 1328779555489. The reversal of 1328779555488 is 8845559778231.

1328779555488 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 7 + 7 + 95 + 55 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1328779555489) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7423349383 + ... + 7423349561.

It is an arithmetic number, because the mean of its divisors is an integer number (3088080450).

Almost surely, 2^{1328779555488} is an apocalyptic number.

1328779555488 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 1328779555488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668101508800).

1328779555488 is an abundant number, since it is smaller than the sum of its proper divisors (4007423462112).

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

1328779555488 is a wasteful number, since it uses less digits than its factorization.

1328779555488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its digits is 677376000, while the sum is 72.

The spelling of 1328779555488 in words is "one trillion, three hundred twenty-eight billion, seven hundred seventy-nine million, five hundred fifty-five thousand, four hundred eighty-eight".