1288155389280 has 192 divisors, whose sum is σ = 4132936700928. Its totient is φ = 337174548480.

The previous prime is 1288155389201. The next prime is 1288155389281. The reversal of 1288155389280 is 829835518821.

It is a super-2 number, since 2×1288155389280² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288155389281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8965689 + ... + 9108231.

It is an arithmetic number, because the mean of its divisors is an integer number (21525711984).

Almost surely, 2^{1288155389280} is an apocalyptic number.

1288155389280 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 1288155389280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066468350464).

1288155389280 is an abundant number, since it is smaller than the sum of its proper divisors (2844781311648).

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

1288155389280 is a wasteful number, since it uses less digits than its factorization.

1288155389280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142909 (or 142901 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 60.

The spelling of 1288155389280 in words is "one trillion, two hundred eighty-eight billion, one hundred fifty-five million, three hundred eighty-nine thousand, two hundred eighty".