1288077880320 has 2112 divisors, whose sum is σ = 5927666572800. Its totient is φ = 262218055680.

The previous prime is 1288077880319. The next prime is 1288077880321. The reversal of 1288077880320 is 230887708821.

It is an interprime number because it is at equal distance from previous prime (1288077880319) and next prime (1288077880321).

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is not an unprimeable number, because it can be changed into a prime (1288077880321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4396170094 + ... + 4396170386.

Almost surely, 2^{1288077880320} is an apocalyptic number.

1288077880320 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 1288077880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963833286400).

1288077880320 is an abundant number, since it is smaller than the sum of its proper divisors (4639588692480).

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

1288077880320 is a wasteful number, since it uses less digits than its factorization.

1288077880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 1288077880320 in words is "one trillion, two hundred eighty-eight billion, seventy-seven million, eight hundred eighty thousand, three hundred twenty".